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Finding the Fourth Proportional to 754,128, 1,040,720.96 and 414,620.80

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Solution

The fourth proportional to 754,128, 1,040,720.96 and 414,620.80 is: 572,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,128 : 1,040,720.96 = 414,620.80 : x
  2. Step 2: Convert to fraction form
    754,128/1,040,720.96 = 414,620.80/x
  3. Step 3: Cross multiply
    754,128x = 1,040,720.96 × 414,620.80
  4. Step 4: Simplify right side
    754,128x = 431,504,557,011.97
  5. Step 5: Solve for x
    x = 431,504,557,011.97/754,128
  6. Step 6: Final answer
    x = 572,190.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.