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Finding the Fourth Proportional to 359,320.80, 539,110.80 and 149,023.20

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Solution

The fourth proportional to 359,320.80, 539,110.80 and 149,023.20 is: 223,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,320.80 : 539,110.80 = 149,023.20 : x
  2. Step 2: Convert to fraction form
    359,320.80/539,110.80 = 149,023.20/x
  3. Step 3: Cross multiply
    359,320.80x = 539,110.80 × 149,023.20
  4. Step 4: Simplify right side
    359,320.80x = 80,340,016,570.56
  5. Step 5: Solve for x
    x = 80,340,016,570.56/359,320.80
  6. Step 6: Final answer
    x = 223,588.55

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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.