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Finding the Fourth Proportional to 256,498.20, 384,747.30 and 172,517.40

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Solution

The fourth proportional to 256,498.20, 384,747.30 and 172,517.40 is: 258,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.20 : 384,747.30 = 172,517.40 : x
  2. Step 2: Convert to fraction form
    256,498.20/384,747.30 = 172,517.40/x
  3. Step 3: Cross multiply
    256,498.20x = 384,747.30 × 172,517.40
  4. Step 4: Simplify right side
    256,498.20x = 66,375,603,853.02
  5. Step 5: Solve for x
    x = 66,375,603,853.02/256,498.20
  6. Step 6: Final answer
    x = 258,776.10

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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.