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Finding the Fourth Proportional to 381,718.92, 572,490.87 and 171,417

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Solution

The fourth proportional to 381,718.92, 572,490.87 and 171,417 is: 257,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,718.92 : 572,490.87 = 171,417 : x
  2. Step 2: Convert to fraction form
    381,718.92/572,490.87 = 171,417/x
  3. Step 3: Cross multiply
    381,718.92x = 572,490.87 × 171,417
  4. Step 4: Simplify right side
    381,718.92x = 98,134,667,462.79
  5. Step 5: Solve for x
    x = 98,134,667,462.79/381,718.92
  6. Step 6: Final answer
    x = 257,086.20

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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.