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Finding the Fourth Proportional to 359,145.60, 538,286.40 and 148,675.20

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Solution

The fourth proportional to 359,145.60, 538,286.40 and 148,675.20 is: 222,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,145.60 : 538,286.40 = 148,675.20 : x
  2. Step 2: Convert to fraction form
    359,145.60/538,286.40 = 148,675.20/x
  3. Step 3: Cross multiply
    359,145.60x = 538,286.40 × 148,675.20
  4. Step 4: Simplify right side
    359,145.60x = 80,029,838,177.28
  5. Step 5: Solve for x
    x = 80,029,838,177.28/359,145.60
  6. Step 6: Final answer
    x = 222,833.97

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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.