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Finding the Fourth Proportional to 359,447.28, 539,240.04 and 137,814

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Solution

The fourth proportional to 359,447.28, 539,240.04 and 137,814 is: 206,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,447.28 : 539,240.04 = 137,814 : x
  2. Step 2: Convert to fraction form
    359,447.28/539,240.04 = 137,814/x
  3. Step 3: Cross multiply
    359,447.28x = 539,240.04 × 137,814
  4. Step 4: Simplify right side
    359,447.28x = 74,314,826,872.56
  5. Step 5: Solve for x
    x = 74,314,826,872.56/359,447.28
  6. Step 6: Final answer
    x = 206,747.50

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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.