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Finding the Fourth Proportional to 408,051.40, 611,639.70 and 155,234.20

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Solution

The fourth proportional to 408,051.40, 611,639.70 and 155,234.20 is: 232,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.40 : 611,639.70 = 155,234.20 : x
  2. Step 2: Convert to fraction form
    408,051.40/611,639.70 = 155,234.20/x
  3. Step 3: Cross multiply
    408,051.40x = 611,639.70 × 155,234.20
  4. Step 4: Simplify right side
    408,051.40x = 94,947,399,517.74
  5. Step 5: Solve for x
    x = 94,947,399,517.74/408,051.40
  6. Step 6: Final answer
    x = 232,684.90

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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.