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Finding the Fourth Proportional to 408,743, 612,228.35 and 197,938.88

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Solution

The fourth proportional to 408,743, 612,228.35 and 197,938.88 is: 296,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,743 : 612,228.35 = 197,938.88 : x
  2. Step 2: Convert to fraction form
    408,743/612,228.35 = 197,938.88/x
  3. Step 3: Cross multiply
    408,743x = 612,228.35 × 197,938.88
  4. Step 4: Simplify right side
    408,743x = 121,183,793,903.25
  5. Step 5: Solve for x
    x = 121,183,793,903.25/408,743
  6. Step 6: Final answer
    x = 296,479.19

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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.