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Finding the Fourth Proportional to 254,540.80, 381,854.40 and 77,046.40

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Solution

The fourth proportional to 254,540.80, 381,854.40 and 77,046.40 is: 115,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,540.80 : 381,854.40 = 77,046.40 : x
  2. Step 2: Convert to fraction form
    254,540.80/381,854.40 = 77,046.40/x
  3. Step 3: Cross multiply
    254,540.80x = 381,854.40 × 77,046.40
  4. Step 4: Simplify right side
    254,540.80x = 29,420,506,844.16
  5. Step 5: Solve for x
    x = 29,420,506,844.16/254,540.80
  6. Step 6: Final answer
    x = 115,582.68

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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.