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Finding the Fourth Proportional to 408,429.80, 611,769.90 and 266,712.20

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Solution

The fourth proportional to 408,429.80, 611,769.90 and 266,712.20 is: 399,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,429.80 : 611,769.90 = 266,712.20 : x
  2. Step 2: Convert to fraction form
    408,429.80/611,769.90 = 266,712.20/x
  3. Step 3: Cross multiply
    408,429.80x = 611,769.90 × 266,712.20
  4. Step 4: Simplify right side
    408,429.80x = 163,166,495,922.78
  5. Step 5: Solve for x
    x = 163,166,495,922.78/408,429.80
  6. Step 6: Final answer
    x = 399,497.04

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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.