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Finding the Fourth Proportional to 359,409.60, 538,682.40 and 148,939.20

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Solution

The fourth proportional to 359,409.60, 538,682.40 and 148,939.20 is: 223,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,409.60 : 538,682.40 = 148,939.20 : x
  2. Step 2: Convert to fraction form
    359,409.60/538,682.40 = 148,939.20/x
  3. Step 3: Cross multiply
    359,409.60x = 538,682.40 × 148,939.20
  4. Step 4: Simplify right side
    359,409.60x = 80,230,925,710.08
  5. Step 5: Solve for x
    x = 80,230,925,710.08/359,409.60
  6. Step 6: Final answer
    x = 223,229.78

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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.