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Finding the Fourth Proportional to 516,447.31, 711,946.17 and 360,915.73

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Solution

The fourth proportional to 516,447.31, 711,946.17 and 360,915.73 is: 497,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,447.31 : 711,946.17 = 360,915.73 : x
  2. Step 2: Convert to fraction form
    516,447.31/711,946.17 = 360,915.73/x
  3. Step 3: Cross multiply
    516,447.31x = 711,946.17 × 360,915.73
  4. Step 4: Simplify right side
    516,447.31x = 256,952,571,666.25
  5. Step 5: Solve for x
    x = 256,952,571,666.25/516,447.31
  6. Step 6: Final answer
    x = 497,538.79

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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.