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Finding the Fourth Proportional to 442,270.80, 663,406.20 and 408,056.40

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Solution

The fourth proportional to 442,270.80, 663,406.20 and 408,056.40 is: 612,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,270.80 : 663,406.20 = 408,056.40 : x
  2. Step 2: Convert to fraction form
    442,270.80/663,406.20 = 408,056.40/x
  3. Step 3: Cross multiply
    442,270.80x = 663,406.20 × 408,056.40
  4. Step 4: Simplify right side
    442,270.80x = 270,707,145,709.68
  5. Step 5: Solve for x
    x = 270,707,145,709.68/442,270.80
  6. Step 6: Final answer
    x = 612,084.60

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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.