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Finding the Fourth Proportional to 408,113.43, 612,169.32 and 108,594

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Solution

The fourth proportional to 408,113.43, 612,169.32 and 108,594 is: 162,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,113.43 : 612,169.32 = 108,594 : x
  2. Step 2: Convert to fraction form
    408,113.43/612,169.32 = 108,594/x
  3. Step 3: Cross multiply
    408,113.43x = 612,169.32 × 108,594
  4. Step 4: Simplify right side
    408,113.43x = 66,477,915,136.08
  5. Step 5: Solve for x
    x = 66,477,915,136.08/408,113.43
  6. Step 6: Final answer
    x = 162,890.78

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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.