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Finding the Fourth Proportional to 502,458.68, 693,423.98 and 287,593.83

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Solution

The fourth proportional to 502,458.68, 693,423.98 and 287,593.83 is: 396,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,458.68 : 693,423.98 = 287,593.83 : x
  2. Step 2: Convert to fraction form
    502,458.68/693,423.98 = 287,593.83/x
  3. Step 3: Cross multiply
    502,458.68x = 693,423.98 × 287,593.83
  4. Step 4: Simplify right side
    502,458.68x = 199,424,458,222.04
  5. Step 5: Solve for x
    x = 199,424,458,222.04/502,458.68
  6. Step 6: Final answer
    x = 396,897.23

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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.