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Finding the Fourth Proportional to 635,194.28, 876,610.68 and 419,964.32

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Solution

The fourth proportional to 635,194.28, 876,610.68 and 419,964.32 is: 579,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,194.28 : 876,610.68 = 419,964.32 : x
  2. Step 2: Convert to fraction form
    635,194.28/876,610.68 = 419,964.32/x
  3. Step 3: Cross multiply
    635,194.28x = 876,610.68 × 419,964.32
  4. Step 4: Simplify right side
    635,194.28x = 368,145,208,130.94
  5. Step 5: Solve for x
    x = 368,145,208,130.94/635,194.28
  6. Step 6: Final answer
    x = 579,578.91

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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.