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Finding the Fourth Proportional to 460,876.80, 691,315.20 and 128,452.80

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Solution

The fourth proportional to 460,876.80, 691,315.20 and 128,452.80 is: 192,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,876.80 : 691,315.20 = 128,452.80 : x
  2. Step 2: Convert to fraction form
    460,876.80/691,315.20 = 128,452.80/x
  3. Step 3: Cross multiply
    460,876.80x = 691,315.20 × 128,452.80
  4. Step 4: Simplify right side
    460,876.80x = 88,801,373,122.56
  5. Step 5: Solve for x
    x = 88,801,373,122.56/460,876.80
  6. Step 6: Final answer
    x = 192,679.20

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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.