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Finding the Fourth Proportional to 408,733.88, 613,199.30 and 128,251.13

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Solution

The fourth proportional to 408,733.88, 613,199.30 and 128,251.13 is: 192,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,733.88 : 613,199.30 = 128,251.13 : x
  2. Step 2: Convert to fraction form
    408,733.88/613,199.30 = 128,251.13/x
  3. Step 3: Cross multiply
    408,733.88x = 613,199.30 × 128,251.13
  4. Step 4: Simplify right side
    408,733.88x = 78,643,499,432.96
  5. Step 5: Solve for x
    x = 78,643,499,432.96/408,733.88
  6. Step 6: Final answer
    x = 192,407.59

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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.