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Finding the Fourth Proportional to 408,105.40, 611,720.70 and 155,288.20

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Solution

The fourth proportional to 408,105.40, 611,720.70 and 155,288.20 is: 232,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,105.40 : 611,720.70 = 155,288.20 : x
  2. Step 2: Convert to fraction form
    408,105.40/611,720.70 = 155,288.20/x
  3. Step 3: Cross multiply
    408,105.40x = 611,720.70 × 155,288.20
  4. Step 4: Simplify right side
    408,105.40x = 94,993,006,405.74
  5. Step 5: Solve for x
    x = 94,993,006,405.74/408,105.40
  6. Step 6: Final answer
    x = 232,765.86

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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.