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Finding the Fourth Proportional to 284,778.52, 426,956.88 and 172,432.33

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Solution

The fourth proportional to 284,778.52, 426,956.88 and 172,432.33 is: 258,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.52 : 426,956.88 = 172,432.33 : x
  2. Step 2: Convert to fraction form
    284,778.52/426,956.88 = 172,432.33/x
  3. Step 3: Cross multiply
    284,778.52x = 426,956.88 × 172,432.33
  4. Step 4: Simplify right side
    284,778.52x = 73,621,168,765.77
  5. Step 5: Solve for x
    x = 73,621,168,765.77/284,778.52
  6. Step 6: Final answer
    x = 258,520.79

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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.