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Finding the Fourth Proportional to 485,134.40, 727,701.60 and 298,251.20

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Solution

The fourth proportional to 485,134.40, 727,701.60 and 298,251.20 is: 447,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,134.40 : 727,701.60 = 298,251.20 : x
  2. Step 2: Convert to fraction form
    485,134.40/727,701.60 = 298,251.20/x
  3. Step 3: Cross multiply
    485,134.40x = 727,701.60 × 298,251.20
  4. Step 4: Simplify right side
    485,134.40x = 217,037,875,441.92
  5. Step 5: Solve for x
    x = 217,037,875,441.92/485,134.40
  6. Step 6: Final answer
    x = 447,376.80

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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.