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Finding the Fourth Proportional to 252,301.20, 378,451.80 and 158,989.20

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Solution

The fourth proportional to 252,301.20, 378,451.80 and 158,989.20 is: 238,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,301.20 : 378,451.80 = 158,989.20 : x
  2. Step 2: Convert to fraction form
    252,301.20/378,451.80 = 158,989.20/x
  3. Step 3: Cross multiply
    252,301.20x = 378,451.80 × 158,989.20
  4. Step 4: Simplify right side
    252,301.20x = 60,169,748,920.56
  5. Step 5: Solve for x
    x = 60,169,748,920.56/252,301.20
  6. Step 6: Final answer
    x = 238,483.80

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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.