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Finding the Fourth Proportional to 257,788.97, 386,654.80 and 80,281.11

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Solution

The fourth proportional to 257,788.97, 386,654.80 and 80,281.11 is: 120,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,788.97 : 386,654.80 = 80,281.11 : x
  2. Step 2: Convert to fraction form
    257,788.97/386,654.80 = 80,281.11/x
  3. Step 3: Cross multiply
    257,788.97x = 386,654.80 × 80,281.11
  4. Step 4: Simplify right side
    257,788.97x = 31,041,076,530.83
  5. Step 5: Solve for x
    x = 31,041,076,530.83/257,788.97
  6. Step 6: Final answer
    x = 120,412.74

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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.