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Finding the Fourth Proportional to 257,984.66, 386,947.80 and 89,473.88

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Solution

The fourth proportional to 257,984.66, 386,947.80 and 89,473.88 is: 134,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984.66 : 386,947.80 = 89,473.88 : x
  2. Step 2: Convert to fraction form
    257,984.66/386,947.80 = 89,473.88/x
  3. Step 3: Cross multiply
    257,984.66x = 386,947.80 × 89,473.88
  4. Step 4: Simplify right side
    257,984.66x = 34,621,721,023.46
  5. Step 5: Solve for x
    x = 34,621,721,023.46/257,984.66
  6. Step 6: Final answer
    x = 134,200.70

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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.