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Finding the Fourth Proportional to 408,531.97, 563,765.81 and 227,240.00

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Solution

The fourth proportional to 408,531.97, 563,765.81 and 227,240.00 is: 313,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531.97 : 563,765.81 = 227,240.00 : x
  2. Step 2: Convert to fraction form
    408,531.97/563,765.81 = 227,240.00/x
  3. Step 3: Cross multiply
    408,531.97x = 563,765.81 × 227,240.00
  4. Step 4: Simplify right side
    408,531.97x = 128,110,140,823.49
  5. Step 5: Solve for x
    x = 128,110,140,823.49/408,531.97
  6. Step 6: Final answer
    x = 313,586.57

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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.