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Finding the Fourth Proportional to 359,638, 539,482.92 and 138,022

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Solution

The fourth proportional to 359,638, 539,482.92 and 138,022 is: 207,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,638 : 539,482.92 = 138,022 : x
  2. Step 2: Convert to fraction form
    359,638/539,482.92 = 138,022/x
  3. Step 3: Cross multiply
    359,638x = 539,482.92 × 138,022
  4. Step 4: Simplify right side
    359,638x = 74,460,511,584.24
  5. Step 5: Solve for x
    x = 74,460,511,584.24/359,638
  6. Step 6: Final answer
    x = 207,042.95

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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.