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Finding the Fourth Proportional to 418,431.13, 627,611.07 and 165,642.88

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Solution

The fourth proportional to 418,431.13, 627,611.07 and 165,642.88 is: 248,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,431.13 : 627,611.07 = 165,642.88 : x
  2. Step 2: Convert to fraction form
    418,431.13/627,611.07 = 165,642.88/x
  3. Step 3: Cross multiply
    418,431.13x = 627,611.07 × 165,642.88
  4. Step 4: Simplify right side
    418,431.13x = 103,959,305,154.68
  5. Step 5: Solve for x
    x = 103,959,305,154.68/418,431.13
  6. Step 6: Final answer
    x = 248,450.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.