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Finding the Fourth Proportional to 312,987.96, 431,856.90 and 185,704.92

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Solution

The fourth proportional to 312,987.96, 431,856.90 and 185,704.92 is: 256,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,987.96 : 431,856.90 = 185,704.92 : x
  2. Step 2: Convert to fraction form
    312,987.96/431,856.90 = 185,704.92/x
  3. Step 3: Cross multiply
    312,987.96x = 431,856.90 × 185,704.92
  4. Step 4: Simplify right side
    312,987.96x = 80,197,951,065.95
  5. Step 5: Solve for x
    x = 80,197,951,065.95/312,987.96
  6. Step 6: Final answer
    x = 256,233.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.