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Finding the Fourth Proportional to 489,321.40, 733,982.10 and 406,377.40

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Solution

The fourth proportional to 489,321.40, 733,982.10 and 406,377.40 is: 609,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,321.40 : 733,982.10 = 406,377.40 : x
  2. Step 2: Convert to fraction form
    489,321.40/733,982.10 = 406,377.40/x
  3. Step 3: Cross multiply
    489,321.40x = 733,982.10 × 406,377.40
  4. Step 4: Simplify right side
    489,321.40x = 298,273,737,444.54
  5. Step 5: Solve for x
    x = 298,273,737,444.54/489,321.40
  6. Step 6: Final answer
    x = 609,566.10

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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.