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Finding the Fourth Proportional to 408,920.18, 613,331.58 and 109,423.90

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Solution

The fourth proportional to 408,920.18, 613,331.58 and 109,423.90 is: 164,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,920.18 : 613,331.58 = 109,423.90 : x
  2. Step 2: Convert to fraction form
    408,920.18/613,331.58 = 109,423.90/x
  3. Step 3: Cross multiply
    408,920.18x = 613,331.58 × 109,423.90
  4. Step 4: Simplify right side
    408,920.18x = 67,113,133,476.76
  5. Step 5: Solve for x
    x = 67,113,133,476.76/408,920.18
  6. Step 6: Final answer
    x = 164,122.82

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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.