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Finding the Fourth Proportional to 502,538.90, 693,665.30 and 321,737.78

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Solution

The fourth proportional to 502,538.90, 693,665.30 and 321,737.78 is: 444,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,538.90 : 693,665.30 = 321,737.78 : x
  2. Step 2: Convert to fraction form
    502,538.90/693,665.30 = 321,737.78/x
  3. Step 3: Cross multiply
    502,538.90x = 693,665.30 × 321,737.78
  4. Step 4: Simplify right side
    502,538.90x = 223,178,336,223.54
  5. Step 5: Solve for x
    x = 223,178,336,223.54/502,538.90
  6. Step 6: Final answer
    x = 444,101.62

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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.