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Finding the Fourth Proportional to 408,869.81, 564,240.37 and 227,577.85

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Solution

The fourth proportional to 408,869.81, 564,240.37 and 227,577.85 is: 314,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,869.81 : 564,240.37 = 227,577.85 : x
  2. Step 2: Convert to fraction form
    408,869.81/564,240.37 = 227,577.85/x
  3. Step 3: Cross multiply
    408,869.81x = 564,240.37 × 227,577.85
  4. Step 4: Simplify right side
    408,869.81x = 128,408,610,287.81
  5. Step 5: Solve for x
    x = 128,408,610,287.81/408,869.81
  6. Step 6: Final answer
    x = 314,057.45

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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.