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Finding the Fourth Proportional to 313,687.46, 432,887.82 and 170,448

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Solution

The fourth proportional to 313,687.46, 432,887.82 and 170,448 is: 235,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,687.46 : 432,887.82 = 170,448 : x
  2. Step 2: Convert to fraction form
    313,687.46/432,887.82 = 170,448/x
  3. Step 3: Cross multiply
    313,687.46x = 432,887.82 × 170,448
  4. Step 4: Simplify right side
    313,687.46x = 73,784,863,143.36
  5. Step 5: Solve for x
    x = 73,784,863,143.36/313,687.46
  6. Step 6: Final answer
    x = 235,217.76

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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.