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Finding the Fourth Proportional to 409,474.20, 614,297.70 and 129,019.80

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Solution

The fourth proportional to 409,474.20, 614,297.70 and 129,019.80 is: 193,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,474.20 : 614,297.70 = 129,019.80 : x
  2. Step 2: Convert to fraction form
    409,474.20/614,297.70 = 129,019.80/x
  3. Step 3: Cross multiply
    409,474.20x = 614,297.70 × 129,019.80
  4. Step 4: Simplify right side
    409,474.20x = 79,256,566,394.46
  5. Step 5: Solve for x
    x = 79,256,566,394.46/409,474.20
  6. Step 6: Final answer
    x = 193,556.92

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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.