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Finding the Fourth Proportional to 681,218.10, 940,010.40 and 419,532

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Solution

The fourth proportional to 681,218.10, 940,010.40 and 419,532 is: 578,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,218.10 : 940,010.40 = 419,532 : x
  2. Step 2: Convert to fraction form
    681,218.10/940,010.40 = 419,532/x
  3. Step 3: Cross multiply
    681,218.10x = 940,010.40 × 419,532
  4. Step 4: Simplify right side
    681,218.10x = 394,364,443,132.80
  5. Step 5: Solve for x
    x = 394,364,443,132.80/681,218.10
  6. Step 6: Final answer
    x = 578,910.69

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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.