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Finding the Fourth Proportional to 359,380.80, 539,200.80 and 149,083.20

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Solution

The fourth proportional to 359,380.80, 539,200.80 and 149,083.20 is: 223,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,380.80 : 539,200.80 = 149,083.20 : x
  2. Step 2: Convert to fraction form
    359,380.80/539,200.80 = 149,083.20/x
  3. Step 3: Cross multiply
    359,380.80x = 539,200.80 × 149,083.20
  4. Step 4: Simplify right side
    359,380.80x = 80,385,780,706.56
  5. Step 5: Solve for x
    x = 80,385,780,706.56/359,380.80
  6. Step 6: Final answer
    x = 223,678.56

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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.