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Finding the Fourth Proportional to 312,956.64, 431,714.88 and 192,121.92

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Solution

The fourth proportional to 312,956.64, 431,714.88 and 192,121.92 is: 265,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,956.64 : 431,714.88 = 192,121.92 : x
  2. Step 2: Convert to fraction form
    312,956.64/431,714.88 = 192,121.92/x
  3. Step 3: Cross multiply
    312,956.64x = 431,714.88 × 192,121.92
  4. Step 4: Simplify right side
    312,956.64x = 82,941,891,638.17
  5. Step 5: Solve for x
    x = 82,941,891,638.17/312,956.64
  6. Step 6: Final answer
    x = 265,026.78

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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.