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Finding the Fourth Proportional to 489,020.54, 733,452.12 and 133,951.55

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Solution

The fourth proportional to 489,020.54, 733,452.12 and 133,951.55 is: 200,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,020.54 : 733,452.12 = 133,951.55 : x
  2. Step 2: Convert to fraction form
    489,020.54/733,452.12 = 133,951.55/x
  3. Step 3: Cross multiply
    489,020.54x = 733,452.12 × 133,951.55
  4. Step 4: Simplify right side
    489,020.54x = 98,247,044,657.53
  5. Step 5: Solve for x
    x = 98,247,044,657.53/489,020.54
  6. Step 6: Final answer
    x = 200,905.76

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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.