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Finding the Fourth Proportional to 435,472.89, 653,285.88 and 198,839.49

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Solution

The fourth proportional to 435,472.89, 653,285.88 and 198,839.49 is: 298,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,472.89 : 653,285.88 = 198,839.49 : x
  2. Step 2: Convert to fraction form
    435,472.89/653,285.88 = 198,839.49/x
  3. Step 3: Cross multiply
    435,472.89x = 653,285.88 × 198,839.49
  4. Step 4: Simplify right side
    435,472.89x = 129,899,031,203.40
  5. Step 5: Solve for x
    x = 129,899,031,203.40/435,472.89
  6. Step 6: Final answer
    x = 298,294.19

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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.