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Finding the Fourth Proportional to 359,277.20, 538,251.60 and 209,589.20

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Solution

The fourth proportional to 359,277.20, 538,251.60 and 209,589.20 is: 313,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,277.20 : 538,251.60 = 209,589.20 : x
  2. Step 2: Convert to fraction form
    359,277.20/538,251.60 = 209,589.20/x
  3. Step 3: Cross multiply
    359,277.20x = 538,251.60 × 209,589.20
  4. Step 4: Simplify right side
    359,277.20x = 112,811,722,242.72
  5. Step 5: Solve for x
    x = 112,811,722,242.72/359,277.20
  6. Step 6: Final answer
    x = 313,996.33

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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.