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Finding the Fourth Proportional to 408,937.16, 613,358.82 and 109,441.08

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Solution

The fourth proportional to 408,937.16, 613,358.82 and 109,441.08 is: 164,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,937.16 : 613,358.82 = 109,441.08 : x
  2. Step 2: Convert to fraction form
    408,937.16/613,358.82 = 109,441.08/x
  3. Step 3: Cross multiply
    408,937.16x = 613,358.82 × 109,441.08
  4. Step 4: Simplify right side
    408,937.16x = 67,126,651,688.33
  5. Step 5: Solve for x
    x = 67,126,651,688.33/408,937.16
  6. Step 6: Final answer
    x = 164,149.07

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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.