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Finding the Fourth Proportional to 312,797.46, 431,381.78 and 243,904

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Solution

The fourth proportional to 312,797.46, 431,381.78 and 243,904 is: 336,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,797.46 : 431,381.78 = 243,904 : x
  2. Step 2: Convert to fraction form
    312,797.46/431,381.78 = 243,904/x
  3. Step 3: Cross multiply
    312,797.46x = 431,381.78 × 243,904
  4. Step 4: Simplify right side
    312,797.46x = 105,215,741,669.12
  5. Step 5: Solve for x
    x = 105,215,741,669.12/312,797.46
  6. Step 6: Final answer
    x = 336,370.19

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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.