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Finding the Fourth Proportional to 359,614.80, 538,471.80 and 288,205.20

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Solution

The fourth proportional to 359,614.80, 538,471.80 and 288,205.20 is: 431,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,614.80 : 538,471.80 = 288,205.20 : x
  2. Step 2: Convert to fraction form
    359,614.80/538,471.80 = 288,205.20/x
  3. Step 3: Cross multiply
    359,614.80x = 538,471.80 × 288,205.20
  4. Step 4: Simplify right side
    359,614.80x = 155,190,372,813.36
  5. Step 5: Solve for x
    x = 155,190,372,813.36/359,614.80
  6. Step 6: Final answer
    x = 431,546.12

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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.