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Finding the Fourth Proportional to 381,981.74, 572,775.51 and 171,439.52

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Solution

The fourth proportional to 381,981.74, 572,775.51 and 171,439.52 is: 257,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,981.74 : 572,775.51 = 171,439.52 : x
  2. Step 2: Convert to fraction form
    381,981.74/572,775.51 = 171,439.52/x
  3. Step 3: Cross multiply
    381,981.74x = 572,775.51 × 171,439.52
  4. Step 4: Simplify right side
    381,981.74x = 98,196,358,502.16
  5. Step 5: Solve for x
    x = 98,196,358,502.16/381,981.74
  6. Step 6: Final answer
    x = 257,070.82

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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.