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Finding the Fourth Proportional to 408,825, 564,187.14 and 229,977

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Solution

The fourth proportional to 408,825, 564,187.14 and 229,977 is: 317,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,825 : 564,187.14 = 229,977 : x
  2. Step 2: Convert to fraction form
    408,825/564,187.14 = 229,977/x
  3. Step 3: Cross multiply
    408,825x = 564,187.14 × 229,977
  4. Step 4: Simplify right side
    408,825x = 129,750,065,895.78
  5. Step 5: Solve for x
    x = 129,750,065,895.78/408,825
  6. Step 6: Final answer
    x = 317,373.12

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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.