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Finding the Fourth Proportional to 409,380.30, 613,961.10 and 125,070.30

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Solution

The fourth proportional to 409,380.30, 613,961.10 and 125,070.30 is: 187,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,380.30 : 613,961.10 = 125,070.30 : x
  2. Step 2: Convert to fraction form
    409,380.30/613,961.10 = 125,070.30/x
  3. Step 3: Cross multiply
    409,380.30x = 613,961.10 × 125,070.30
  4. Step 4: Simplify right side
    409,380.30x = 76,788,298,965.33
  5. Step 5: Solve for x
    x = 76,788,298,965.33/409,380.30
  6. Step 6: Final answer
    x = 187,572.04

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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.