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Finding the Fourth Proportional to 409,107.65, 564,742.73 and 275,049.41

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Solution

The fourth proportional to 409,107.65, 564,742.73 and 275,049.41 is: 379,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107.65 : 564,742.73 = 275,049.41 : x
  2. Step 2: Convert to fraction form
    409,107.65/564,742.73 = 275,049.41/x
  3. Step 3: Cross multiply
    409,107.65x = 564,742.73 × 275,049.41
  4. Step 4: Simplify right side
    409,107.65x = 155,332,152,552.20
  5. Step 5: Solve for x
    x = 155,332,152,552.20/409,107.65
  6. Step 6: Final answer
    x = 379,685.28

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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.