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Finding the Fourth Proportional to 257,800.28, 386,700.42 and 80,321.63

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Solution

The fourth proportional to 257,800.28, 386,700.42 and 80,321.63 is: 120,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,800.28 : 386,700.42 = 80,321.63 : x
  2. Step 2: Convert to fraction form
    257,800.28/386,700.42 = 80,321.63/x
  3. Step 3: Cross multiply
    257,800.28x = 386,700.42 × 80,321.63
  4. Step 4: Simplify right side
    257,800.28x = 31,060,408,056.08
  5. Step 5: Solve for x
    x = 31,060,408,056.08/257,800.28
  6. Step 6: Final answer
    x = 120,482.45

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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.