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Finding the Fourth Proportional to 408,753.78, 616,970.21 and 408,753.78

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Solution

The fourth proportional to 408,753.78, 616,970.21 and 408,753.78 is: 616,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,753.78 : 616,970.21 = 408,753.78 : x
  2. Step 2: Convert to fraction form
    408,753.78/616,970.21 = 408,753.78/x
  3. Step 3: Cross multiply
    408,753.78x = 616,970.21 × 408,753.78
  4. Step 4: Simplify right side
    408,753.78x = 252,188,905,484.89
  5. Step 5: Solve for x
    x = 252,188,905,484.89/408,753.78
  6. Step 6: Final answer
    x = 616,970.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.