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Finding the Fourth Proportional to 678,228, 935,998.38 and 376,422

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Solution

The fourth proportional to 678,228, 935,998.38 and 376,422 is: 519,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,228 : 935,998.38 = 376,422 : x
  2. Step 2: Convert to fraction form
    678,228/935,998.38 = 376,422/x
  3. Step 3: Cross multiply
    678,228x = 935,998.38 × 376,422
  4. Step 4: Simplify right side
    678,228x = 352,330,382,196.36
  5. Step 5: Solve for x
    x = 352,330,382,196.36/678,228
  6. Step 6: Final answer
    x = 519,486.64

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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.