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Finding the Fourth Proportional to 420,671.52, 631,046.96 and 326,007.74

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Solution

The fourth proportional to 420,671.52, 631,046.96 and 326,007.74 is: 489,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,671.52 : 631,046.96 = 326,007.74 : x
  2. Step 2: Convert to fraction form
    420,671.52/631,046.96 = 326,007.74/x
  3. Step 3: Cross multiply
    420,671.52x = 631,046.96 × 326,007.74
  4. Step 4: Simplify right side
    420,671.52x = 205,726,188,478.20
  5. Step 5: Solve for x
    x = 205,726,188,478.20/420,671.52
  6. Step 6: Final answer
    x = 489,042.35

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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.