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Finding the Fourth Proportional to 408,790, 613,219.56 and 113,302

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Solution

The fourth proportional to 408,790, 613,219.56 and 113,302 is: 169,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,790 : 613,219.56 = 113,302 : x
  2. Step 2: Convert to fraction form
    408,790/613,219.56 = 113,302/x
  3. Step 3: Cross multiply
    408,790x = 613,219.56 × 113,302
  4. Step 4: Simplify right side
    408,790x = 69,479,002,587.12
  5. Step 5: Solve for x
    x = 69,479,002,587.12/408,790
  6. Step 6: Final answer
    x = 169,962.58

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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.