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Finding the Fourth Proportional to 409,197.72, 613,129.14 and 251,092.20

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Solution

The fourth proportional to 409,197.72, 613,129.14 and 251,092.20 is: 376,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,197.72 : 613,129.14 = 251,092.20 : x
  2. Step 2: Convert to fraction form
    409,197.72/613,129.14 = 251,092.20/x
  3. Step 3: Cross multiply
    409,197.72x = 613,129.14 × 251,092.20
  4. Step 4: Simplify right side
    409,197.72x = 153,951,944,646.71
  5. Step 5: Solve for x
    x = 153,951,944,646.71/409,197.72
  6. Step 6: Final answer
    x = 376,228.74

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1.5x scale

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.