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Finding the Fourth Proportional to 359,765, 539,673.66 and 138,149

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Solution

The fourth proportional to 359,765, 539,673.66 and 138,149 is: 207,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,765 : 539,673.66 = 138,149 : x
  2. Step 2: Convert to fraction form
    359,765/539,673.66 = 138,149/x
  3. Step 3: Cross multiply
    359,765x = 539,673.66 × 138,149
  4. Step 4: Simplify right side
    359,765x = 74,555,376,455.34
  5. Step 5: Solve for x
    x = 74,555,376,455.34/359,765
  6. Step 6: Final answer
    x = 207,233.55

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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.