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Finding the Fourth Proportional to 408,568.32, 612,878.40 and 198,149.76

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Solution

The fourth proportional to 408,568.32, 612,878.40 and 198,149.76 is: 297,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,568.32 : 612,878.40 = 198,149.76 : x
  2. Step 2: Convert to fraction form
    408,568.32/612,878.40 = 198,149.76/x
  3. Step 3: Cross multiply
    408,568.32x = 612,878.40 × 198,149.76
  4. Step 4: Simplify right side
    408,568.32x = 121,441,707,869.18
  5. Step 5: Solve for x
    x = 121,441,707,869.18/408,568.32
  6. Step 6: Final answer
    x = 297,237.21

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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.