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Finding the Fourth Proportional to 502,549, 693,679.20 and 321,747.88

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Solution

The fourth proportional to 502,549, 693,679.20 and 321,747.88 is: 444,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,549 : 693,679.20 = 321,747.88 : x
  2. Step 2: Convert to fraction form
    502,549/693,679.20 = 321,747.88/x
  3. Step 3: Cross multiply
    502,549x = 693,679.20 × 321,747.88
  4. Step 4: Simplify right side
    502,549x = 223,189,812,000.10
  5. Step 5: Solve for x
    x = 223,189,812,000.10/502,549
  6. Step 6: Final answer
    x = 444,115.52

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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.