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Finding the Fourth Proportional to 460,452, 690,717.12 and 128,028

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Solution

The fourth proportional to 460,452, 690,717.12 and 128,028 is: 192,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,452 : 690,717.12 = 128,028 : x
  2. Step 2: Convert to fraction form
    460,452/690,717.12 = 128,028/x
  3. Step 3: Cross multiply
    460,452x = 690,717.12 × 128,028
  4. Step 4: Simplify right side
    460,452x = 88,431,131,439.36
  5. Step 5: Solve for x
    x = 88,431,131,439.36/460,452
  6. Step 6: Final answer
    x = 192,052.88

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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.