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Finding the Fourth Proportional to 509,454.12, 703,021.01 and 283,094.76

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Solution

The fourth proportional to 509,454.12, 703,021.01 and 283,094.76 is: 390,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,454.12 : 703,021.01 = 283,094.76 : x
  2. Step 2: Convert to fraction form
    509,454.12/703,021.01 = 283,094.76/x
  3. Step 3: Cross multiply
    509,454.12x = 703,021.01 × 283,094.76
  4. Step 4: Simplify right side
    509,454.12x = 199,021,562,685.43
  5. Step 5: Solve for x
    x = 199,021,562,685.43/509,454.12
  6. Step 6: Final answer
    x = 390,656.50

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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.