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Finding the Fourth Proportional to 408,956.31, 613,442.61 and 109,436.40

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Solution

The fourth proportional to 408,956.31, 613,442.61 and 109,436.40 is: 164,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,956.31 : 613,442.61 = 109,436.40 : x
  2. Step 2: Convert to fraction form
    408,956.31/613,442.61 = 109,436.40/x
  3. Step 3: Cross multiply
    408,956.31x = 613,442.61 × 109,436.40
  4. Step 4: Simplify right side
    408,956.31x = 67,132,950,845.00
  5. Step 5: Solve for x
    x = 67,132,950,845.00/408,956.31
  6. Step 6: Final answer
    x = 164,156.78

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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.