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Finding the Fourth Proportional to 408,868.56, 564,238.64 and 227,576.60

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Solution

The fourth proportional to 408,868.56, 564,238.64 and 227,576.60 is: 314,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,868.56 : 564,238.64 = 227,576.60 : x
  2. Step 2: Convert to fraction form
    408,868.56/564,238.64 = 227,576.60/x
  3. Step 3: Cross multiply
    408,868.56x = 564,238.64 × 227,576.60
  4. Step 4: Simplify right side
    408,868.56x = 128,407,513,259.36
  5. Step 5: Solve for x
    x = 128,407,513,259.36/408,868.56
  6. Step 6: Final answer
    x = 314,055.73

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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.