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Finding the Fourth Proportional to 257,909.60, 386,864.40 and 80,415.20

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Solution

The fourth proportional to 257,909.60, 386,864.40 and 80,415.20 is: 120,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,909.60 : 386,864.40 = 80,415.20 : x
  2. Step 2: Convert to fraction form
    257,909.60/386,864.40 = 80,415.20/x
  3. Step 3: Cross multiply
    257,909.60x = 386,864.40 × 80,415.20
  4. Step 4: Simplify right side
    257,909.60x = 31,109,778,098.88
  5. Step 5: Solve for x
    x = 31,109,778,098.88/257,909.60
  6. Step 6: Final answer
    x = 120,622.80

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1.5x scale

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.