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Finding the Fourth Proportional to 408,900, 564,232.80 and 227,566.56

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Solution

The fourth proportional to 408,900, 564,232.80 and 227,566.56 is: 314,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,900 : 564,232.80 = 227,566.56 : x
  2. Step 2: Convert to fraction form
    408,900/564,232.80 = 227,566.56/x
  3. Step 3: Cross multiply
    408,900x = 564,232.80 × 227,566.56
  4. Step 4: Simplify right side
    408,900x = 128,400,517,335.17
  5. Step 5: Solve for x
    x = 128,400,517,335.17/408,900
  6. Step 6: Final answer
    x = 314,014.47

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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.