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Finding the Fourth Proportional to 359,449.28, 539,243.04 and 137,816

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Solution

The fourth proportional to 359,449.28, 539,243.04 and 137,816 is: 206,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,449.28 : 539,243.04 = 137,816 : x
  2. Step 2: Convert to fraction form
    359,449.28/539,243.04 = 137,816/x
  3. Step 3: Cross multiply
    359,449.28x = 539,243.04 × 137,816
  4. Step 4: Simplify right side
    359,449.28x = 74,316,318,800.64
  5. Step 5: Solve for x
    x = 74,316,318,800.64/359,449.28
  6. Step 6: Final answer
    x = 206,750.50

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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.