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Finding the Fourth Proportional to 381,908.32, 572,863.23 and 142,074.81

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Solution

The fourth proportional to 381,908.32, 572,863.23 and 142,074.81 is: 213,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,908.32 : 572,863.23 = 142,074.81 : x
  2. Step 2: Convert to fraction form
    381,908.32/572,863.23 = 142,074.81/x
  3. Step 3: Cross multiply
    381,908.32x = 572,863.23 × 142,074.81
  4. Step 4: Simplify right side
    381,908.32x = 81,389,434,558.24
  5. Step 5: Solve for x
    x = 81,389,434,558.24/381,908.32
  6. Step 6: Final answer
    x = 213,112.50

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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.