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Finding the Fourth Proportional to 408,916.62, 613,326.23 and 109,420.34

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Solution

The fourth proportional to 408,916.62, 613,326.23 and 109,420.34 is: 164,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,916.62 : 613,326.23 = 109,420.34 : x
  2. Step 2: Convert to fraction form
    408,916.62/613,326.23 = 109,420.34/x
  3. Step 3: Cross multiply
    408,916.62x = 613,326.23 × 109,420.34
  4. Step 4: Simplify right side
    408,916.62x = 67,110,361,414.11
  5. Step 5: Solve for x
    x = 67,110,361,414.11/408,916.62
  6. Step 6: Final answer
    x = 164,117.47

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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.