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Finding the Fourth Proportional to 561,062.33, 842,839.19 and 347,987.78

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Solution

The fourth proportional to 561,062.33, 842,839.19 and 347,987.78 is: 522,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,062.33 : 842,839.19 = 347,987.78 : x
  2. Step 2: Convert to fraction form
    561,062.33/842,839.19 = 347,987.78/x
  3. Step 3: Cross multiply
    561,062.33x = 842,839.19 × 347,987.78
  4. Step 4: Simplify right side
    561,062.33x = 293,297,738,625.10
  5. Step 5: Solve for x
    x = 293,297,738,625.10/561,062.33
  6. Step 6: Final answer
    x = 522,754.29

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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.