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Finding the Fourth Proportional to 650,175.68, 897,422.78 and 378,296.10

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Solution

The fourth proportional to 650,175.68, 897,422.78 and 378,296.10 is: 522,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,175.68 : 897,422.78 = 378,296.10 : x
  2. Step 2: Convert to fraction form
    650,175.68/897,422.78 = 378,296.10/x
  3. Step 3: Cross multiply
    650,175.68x = 897,422.78 × 378,296.10
  4. Step 4: Simplify right side
    650,175.68x = 339,491,537,725.16
  5. Step 5: Solve for x
    x = 339,491,537,725.16/650,175.68
  6. Step 6: Final answer
    x = 522,153.55

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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.