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Finding the Fourth Proportional to 627,175.31, 865,860.84 and 412,938

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Solution

The fourth proportional to 627,175.31, 865,860.84 and 412,938 is: 570,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,175.31 : 865,860.84 = 412,938 : x
  2. Step 2: Convert to fraction form
    627,175.31/865,860.84 = 412,938/x
  3. Step 3: Cross multiply
    627,175.31x = 865,860.84 × 412,938
  4. Step 4: Simplify right side
    627,175.31x = 357,546,843,547.92
  5. Step 5: Solve for x
    x = 357,546,843,547.92/627,175.31
  6. Step 6: Final answer
    x = 570,090.76

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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.