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Finding the Fourth Proportional to 381,258.72, 571,489.02 and 128,451.86

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Solution

The fourth proportional to 381,258.72, 571,489.02 and 128,451.86 is: 192,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,258.72 : 571,489.02 = 128,451.86 : x
  2. Step 2: Convert to fraction form
    381,258.72/571,489.02 = 128,451.86/x
  3. Step 3: Cross multiply
    381,258.72x = 571,489.02 × 128,451.86
  4. Step 4: Simplify right side
    381,258.72x = 73,408,824,731.13
  5. Step 5: Solve for x
    x = 73,408,824,731.13/381,258.72
  6. Step 6: Final answer
    x = 192,543.33

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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.