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Finding the Fourth Proportional to 359,454.28, 539,250.54 and 137,821

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Solution

The fourth proportional to 359,454.28, 539,250.54 and 137,821 is: 206,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,454.28 : 539,250.54 = 137,821 : x
  2. Step 2: Convert to fraction form
    359,454.28/539,250.54 = 137,821/x
  3. Step 3: Cross multiply
    359,454.28x = 539,250.54 × 137,821
  4. Step 4: Simplify right side
    359,454.28x = 74,320,048,673.34
  5. Step 5: Solve for x
    x = 74,320,048,673.34/359,454.28
  6. Step 6: Final answer
    x = 206,758.00

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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.