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Finding the Fourth Proportional to 359,538.28, 539,376.78 and 137,905

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Solution

The fourth proportional to 359,538.28, 539,376.78 and 137,905 is: 206,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,538.28 : 539,376.78 = 137,905 : x
  2. Step 2: Convert to fraction form
    359,538.28/539,376.78 = 137,905/x
  3. Step 3: Cross multiply
    359,538.28x = 539,376.78 × 137,905
  4. Step 4: Simplify right side
    359,538.28x = 74,382,754,845.90
  5. Step 5: Solve for x
    x = 74,382,754,845.90/359,538.28
  6. Step 6: Final answer
    x = 206,884.10

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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.