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Finding the Fourth Proportional to 359,553.52, 539,163.42 and 209,836.90

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Solution

The fourth proportional to 359,553.52, 539,163.42 and 209,836.90 is: 314,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,553.52 : 539,163.42 = 209,836.90 : x
  2. Step 2: Convert to fraction form
    359,553.52/539,163.42 = 209,836.90/x
  3. Step 3: Cross multiply
    359,553.52x = 539,163.42 × 209,836.90
  4. Step 4: Simplify right side
    359,553.52x = 113,136,380,646.20
  5. Step 5: Solve for x
    x = 113,136,380,646.20/359,553.52
  6. Step 6: Final answer
    x = 314,657.97

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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.