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Finding the Fourth Proportional to 280,163.72, 386,695.68 and 172,821.80

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Solution

The fourth proportional to 280,163.72, 386,695.68 and 172,821.80 is: 238,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,163.72 : 386,695.68 = 172,821.80 : x
  2. Step 2: Convert to fraction form
    280,163.72/386,695.68 = 172,821.80/x
  3. Step 3: Cross multiply
    280,163.72x = 386,695.68 × 172,821.80
  4. Step 4: Simplify right side
    280,163.72x = 66,829,443,469.82
  5. Step 5: Solve for x
    x = 66,829,443,469.82/280,163.72
  6. Step 6: Final answer
    x = 238,537.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.