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Finding the Fourth Proportional to 650,439.74, 974,648.18 and 451,149.50

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Solution

The fourth proportional to 650,439.74, 974,648.18 and 451,149.50 is: 676,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,439.74 : 974,648.18 = 451,149.50 : x
  2. Step 2: Convert to fraction form
    650,439.74/974,648.18 = 451,149.50/x
  3. Step 3: Cross multiply
    650,439.74x = 974,648.18 × 451,149.50
  4. Step 4: Simplify right side
    650,439.74x = 439,712,039,082.91
  5. Step 5: Solve for x
    x = 439,712,039,082.91/650,439.74
  6. Step 6: Final answer
    x = 676,022.72

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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.