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Finding the Fourth Proportional to 359,013.20, 538,519.80 and 109,662.80

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Solution

The fourth proportional to 359,013.20, 538,519.80 and 109,662.80 is: 164,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,013.20 : 538,519.80 = 109,662.80 : x
  2. Step 2: Convert to fraction form
    359,013.20/538,519.80 = 109,662.80/x
  3. Step 3: Cross multiply
    359,013.20x = 538,519.80 × 109,662.80
  4. Step 4: Simplify right side
    359,013.20x = 59,055,589,123.44
  5. Step 5: Solve for x
    x = 59,055,589,123.44/359,013.20
  6. Step 6: Final answer
    x = 164,494.20

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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.