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Finding the Fourth Proportional to 408,410.28, 612,082.98 and 208,562.22

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Solution

The fourth proportional to 408,410.28, 612,082.98 and 208,562.22 is: 312,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,410.28 : 612,082.98 = 208,562.22 : x
  2. Step 2: Convert to fraction form
    408,410.28/612,082.98 = 208,562.22/x
  3. Step 3: Cross multiply
    408,410.28x = 612,082.98 × 208,562.22
  4. Step 4: Simplify right side
    408,410.28x = 127,657,385,133.02
  5. Step 5: Solve for x
    x = 127,657,385,133.02/408,410.28
  6. Step 6: Final answer
    x = 312,571.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.