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Finding the Fourth Proportional to 418,654.64, 577,758.56 and 239,841.20

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Solution

The fourth proportional to 418,654.64, 577,758.56 and 239,841.20 is: 330,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,654.64 : 577,758.56 = 239,841.20 : x
  2. Step 2: Convert to fraction form
    418,654.64/577,758.56 = 239,841.20/x
  3. Step 3: Cross multiply
    418,654.64x = 577,758.56 × 239,841.20
  4. Step 4: Simplify right side
    418,654.64x = 138,570,306,340.67
  5. Step 5: Solve for x
    x = 138,570,306,340.67/418,654.64
  6. Step 6: Final answer
    x = 330,989.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.