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Finding the Fourth Proportional to 312,657.44, 431,446.76 and 199,468

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Solution

The fourth proportional to 312,657.44, 431,446.76 and 199,468 is: 275,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,657.44 : 431,446.76 = 199,468 : x
  2. Step 2: Convert to fraction form
    312,657.44/431,446.76 = 199,468/x
  3. Step 3: Cross multiply
    312,657.44x = 431,446.76 × 199,468
  4. Step 4: Simplify right side
    312,657.44x = 86,059,822,323.68
  5. Step 5: Solve for x
    x = 86,059,822,323.68/312,657.44
  6. Step 6: Final answer
    x = 275,252.76

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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.