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Finding the Fourth Proportional to 509,216.38, 702,142.02 and 325,213.12

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Solution

The fourth proportional to 509,216.38, 702,142.02 and 325,213.12 is: 448,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,216.38 : 702,142.02 = 325,213.12 : x
  2. Step 2: Convert to fraction form
    509,216.38/702,142.02 = 325,213.12/x
  3. Step 3: Cross multiply
    509,216.38x = 702,142.02 × 325,213.12
  4. Step 4: Simplify right side
    509,216.38x = 228,345,797,007.30
  5. Step 5: Solve for x
    x = 228,345,797,007.30/509,216.38
  6. Step 6: Final answer
    x = 448,425.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.