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Finding the Fourth Proportional to 313,591.50, 432,935.69 and 206,472.65

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Solution

The fourth proportional to 313,591.50, 432,935.69 and 206,472.65 is: 285,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,591.50 : 432,935.69 = 206,472.65 : x
  2. Step 2: Convert to fraction form
    313,591.50/432,935.69 = 206,472.65/x
  3. Step 3: Cross multiply
    313,591.50x = 432,935.69 × 206,472.65
  4. Step 4: Simplify right side
    313,591.50x = 89,389,375,996.84
  5. Step 5: Solve for x
    x = 89,389,375,996.84/313,591.50
  6. Step 6: Final answer
    x = 285,050.38

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1.5x scale

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.