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Finding the Fourth Proportional to 359,616, 539,449.92 and 138,000

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Solution

The fourth proportional to 359,616, 539,449.92 and 138,000 is: 207,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,616 : 539,449.92 = 138,000 : x
  2. Step 2: Convert to fraction form
    359,616/539,449.92 = 138,000/x
  3. Step 3: Cross multiply
    359,616x = 539,449.92 × 138,000
  4. Step 4: Simplify right side
    359,616x = 74,444,088,960
  5. Step 5: Solve for x
    x = 74,444,088,960/359,616
  6. Step 6: Final answer
    x = 207,009.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.