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Finding the Fourth Proportional to 424,065.85, 636,414.11 and 171,348.53

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Solution

The fourth proportional to 424,065.85, 636,414.11 and 171,348.53 is: 257,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,065.85 : 636,414.11 = 171,348.53 : x
  2. Step 2: Convert to fraction form
    424,065.85/636,414.11 = 171,348.53/x
  3. Step 3: Cross multiply
    424,065.85x = 636,414.11 × 171,348.53
  4. Step 4: Simplify right side
    424,065.85x = 109,048,623,596.61
  5. Step 5: Solve for x
    x = 109,048,623,596.61/424,065.85
  6. Step 6: Final answer
    x = 257,150.21

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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.