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Finding the Fourth Proportional to 408,744.12, 612,230.04 and 197,940

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Solution

The fourth proportional to 408,744.12, 612,230.04 and 197,940 is: 296,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,744.12 : 612,230.04 = 197,940 : x
  2. Step 2: Convert to fraction form
    408,744.12/612,230.04 = 197,940/x
  3. Step 3: Cross multiply
    408,744.12x = 612,230.04 × 197,940
  4. Step 4: Simplify right side
    408,744.12x = 121,184,814,117.60
  5. Step 5: Solve for x
    x = 121,184,814,117.60/408,744.12
  6. Step 6: Final answer
    x = 296,480.87

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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.