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Finding the Fourth Proportional to 257,800.53, 386,700.80 and 80,321.88

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Solution

The fourth proportional to 257,800.53, 386,700.80 and 80,321.88 is: 120,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,800.53 : 386,700.80 = 80,321.88 : x
  2. Step 2: Convert to fraction form
    257,800.53/386,700.80 = 80,321.88/x
  3. Step 3: Cross multiply
    257,800.53x = 386,700.80 × 80,321.88
  4. Step 4: Simplify right side
    257,800.53x = 31,060,534,851.89
  5. Step 5: Solve for x
    x = 31,060,534,851.89/257,800.53
  6. Step 6: Final answer
    x = 120,482.82

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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.