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Finding the Fourth Proportional to 408,024.90, 611,877.06 and 138,078.69

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Solution

The fourth proportional to 408,024.90, 611,877.06 and 138,078.69 is: 207,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.90 : 611,877.06 = 138,078.69 : x
  2. Step 2: Convert to fraction form
    408,024.90/611,877.06 = 138,078.69/x
  3. Step 3: Cross multiply
    408,024.90x = 611,877.06 × 138,078.69
  4. Step 4: Simplify right side
    408,024.90x = 84,487,182,885.85
  5. Step 5: Solve for x
    x = 84,487,182,885.85/408,024.90
  6. Step 6: Final answer
    x = 207,063.79

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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.