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Finding the Fourth Proportional to 465,451.48, 642,701.82 and 379,423.96

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Solution

The fourth proportional to 465,451.48, 642,701.82 and 379,423.96 is: 523,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,451.48 : 642,701.82 = 379,423.96 : x
  2. Step 2: Convert to fraction form
    465,451.48/642,701.82 = 379,423.96/x
  3. Step 3: Cross multiply
    465,451.48x = 642,701.82 × 379,423.96
  4. Step 4: Simplify right side
    465,451.48x = 243,856,469,643.61
  5. Step 5: Solve for x
    x = 243,856,469,643.61/465,451.48
  6. Step 6: Final answer
    x = 523,913.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.