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Finding the Fourth Proportional to 408,020.70, 611,302.05 and 197,193.90

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Solution

The fourth proportional to 408,020.70, 611,302.05 and 197,193.90 is: 295,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.70 : 611,302.05 = 197,193.90 : x
  2. Step 2: Convert to fraction form
    408,020.70/611,302.05 = 197,193.90/x
  3. Step 3: Cross multiply
    408,020.70x = 611,302.05 × 197,193.90
  4. Step 4: Simplify right side
    408,020.70x = 120,545,035,317.50
  5. Step 5: Solve for x
    x = 120,545,035,317.50/408,020.70
  6. Step 6: Final answer
    x = 295,438.53

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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.