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Finding the Fourth Proportional to 312,997.64, 468,695.10 and 172,600.52

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Solution

The fourth proportional to 312,997.64, 468,695.10 and 172,600.52 is: 258,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,997.64 : 468,695.10 = 172,600.52 : x
  2. Step 2: Convert to fraction form
    312,997.64/468,695.10 = 172,600.52/x
  3. Step 3: Cross multiply
    312,997.64x = 468,695.10 × 172,600.52
  4. Step 4: Simplify right side
    312,997.64x = 80,897,017,981.45
  5. Step 5: Solve for x
    x = 80,897,017,981.45/312,997.64
  6. Step 6: Final answer
    x = 258,458.88

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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.