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Finding the Fourth Proportional to 509,380.92, 702,904.56 and 294,534.90

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Solution

The fourth proportional to 509,380.92, 702,904.56 and 294,534.90 is: 406,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,380.92 : 702,904.56 = 294,534.90 : x
  2. Step 2: Convert to fraction form
    509,380.92/702,904.56 = 294,534.90/x
  3. Step 3: Cross multiply
    509,380.92x = 702,904.56 × 294,534.90
  4. Step 4: Simplify right side
    509,380.92x = 207,029,924,289.14
  5. Step 5: Solve for x
    x = 207,029,924,289.14/509,380.92
  6. Step 6: Final answer
    x = 406,434.39

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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.