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Finding the Fourth Proportional to 418,431.45, 627,641.70 and 102,891.09

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Solution

The fourth proportional to 418,431.45, 627,641.70 and 102,891.09 is: 154,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,431.45 : 627,641.70 = 102,891.09 : x
  2. Step 2: Convert to fraction form
    418,431.45/627,641.70 = 102,891.09/x
  3. Step 3: Cross multiply
    418,431.45x = 627,641.70 × 102,891.09
  4. Step 4: Simplify right side
    418,431.45x = 64,578,738,642.45
  5. Step 5: Solve for x
    x = 64,578,738,642.45/418,431.45
  6. Step 6: Final answer
    x = 154,335.29

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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.