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Finding the Fourth Proportional to 257,798.28, 386,697.45 and 80,319.60

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Solution

The fourth proportional to 257,798.28, 386,697.45 and 80,319.60 is: 120,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,798.28 : 386,697.45 = 80,319.60 : x
  2. Step 2: Convert to fraction form
    257,798.28/386,697.45 = 80,319.60/x
  3. Step 3: Cross multiply
    257,798.28x = 386,697.45 × 80,319.60
  4. Step 4: Simplify right side
    257,798.28x = 31,059,384,505.02
  5. Step 5: Solve for x
    x = 31,059,384,505.02/257,798.28
  6. Step 6: Final answer
    x = 120,479.41

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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.