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Finding the Fourth Proportional to 257,805.78, 386,708.67 and 80,327.13

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Solution

The fourth proportional to 257,805.78, 386,708.67 and 80,327.13 is: 120,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,805.78 : 386,708.67 = 80,327.13 : x
  2. Step 2: Convert to fraction form
    257,805.78/386,708.67 = 80,327.13/x
  3. Step 3: Cross multiply
    257,805.78x = 386,708.67 × 80,327.13
  4. Step 4: Simplify right side
    257,805.78x = 31,063,197,607.22
  5. Step 5: Solve for x
    x = 31,063,197,607.22/257,805.78
  6. Step 6: Final answer
    x = 120,490.70

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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.