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Finding the Fourth Proportional to 257,643.60, 386,494.20 and 80,149.20

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Solution

The fourth proportional to 257,643.60, 386,494.20 and 80,149.20 is: 120,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,643.60 : 386,494.20 = 80,149.20 : x
  2. Step 2: Convert to fraction form
    257,643.60/386,494.20 = 80,149.20/x
  3. Step 3: Cross multiply
    257,643.60x = 386,494.20 × 80,149.20
  4. Step 4: Simplify right side
    257,643.60x = 30,977,200,934.64
  5. Step 5: Solve for x
    x = 30,977,200,934.64/257,643.60
  6. Step 6: Final answer
    x = 120,232.76

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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.