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Finding the Fourth Proportional to 252,381.60, 378,582.12 and 65,388.24

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Solution

The fourth proportional to 252,381.60, 378,582.12 and 65,388.24 is: 98,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,381.60 : 378,582.12 = 65,388.24 : x
  2. Step 2: Convert to fraction form
    252,381.60/378,582.12 = 65,388.24/x
  3. Step 3: Cross multiply
    252,381.60x = 378,582.12 × 65,388.24
  4. Step 4: Simplify right side
    252,381.60x = 24,754,818,522.27
  5. Step 5: Solve for x
    x = 24,754,818,522.27/252,381.60
  6. Step 6: Final answer
    x = 98,084.88

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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.