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Finding the Fourth Proportional to 252,682.78, 378,419.91 and 145,742.55

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Solution

The fourth proportional to 252,682.78, 378,419.91 and 145,742.55 is: 218,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,682.78 : 378,419.91 = 145,742.55 : x
  2. Step 2: Convert to fraction form
    252,682.78/378,419.91 = 145,742.55/x
  3. Step 3: Cross multiply
    252,682.78x = 378,419.91 × 145,742.55
  4. Step 4: Simplify right side
    252,682.78x = 55,151,882,654.17
  5. Step 5: Solve for x
    x = 55,151,882,654.17/252,682.78
  6. Step 6: Final answer
    x = 218,265.30

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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.