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Finding the Fourth Proportional to 523,691.91, 785,882.31 and 287,200.66

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Solution

The fourth proportional to 523,691.91, 785,882.31 and 287,200.66 is: 430,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,691.91 : 785,882.31 = 287,200.66 : x
  2. Step 2: Convert to fraction form
    523,691.91/785,882.31 = 287,200.66/x
  3. Step 3: Cross multiply
    523,691.91x = 785,882.31 × 287,200.66
  4. Step 4: Simplify right side
    523,691.91x = 225,705,918,114.33
  5. Step 5: Solve for x
    x = 225,705,918,114.33/523,691.91
  6. Step 6: Final answer
    x = 430,989.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.