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Finding the Fourth Proportional to 489,251.40, 733,877.10 and 329,819.10

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Solution

The fourth proportional to 489,251.40, 733,877.10 and 329,819.10 is: 494,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,251.40 : 733,877.10 = 329,819.10 : x
  2. Step 2: Convert to fraction form
    489,251.40/733,877.10 = 329,819.10/x
  3. Step 3: Cross multiply
    489,251.40x = 733,877.10 × 329,819.10
  4. Step 4: Simplify right side
    489,251.40x = 242,046,684,632.61
  5. Step 5: Solve for x
    x = 242,046,684,632.61/489,251.40
  6. Step 6: Final answer
    x = 494,728.65

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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.