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Finding the Fourth Proportional to 408,869.34, 564,235.34 and 227,578.38

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Solution

The fourth proportional to 408,869.34, 564,235.34 and 227,578.38 is: 314,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,869.34 : 564,235.34 = 227,578.38 : x
  2. Step 2: Convert to fraction form
    408,869.34/564,235.34 = 227,578.38/x
  3. Step 3: Cross multiply
    408,869.34x = 564,235.34 × 227,578.38
  4. Step 4: Simplify right side
    408,869.34x = 128,407,764,615.95
  5. Step 5: Solve for x
    x = 128,407,764,615.95/408,869.34
  6. Step 6: Final answer
    x = 314,055.74

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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.