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Finding the Fourth Proportional to 418,362.39, 627,294 and 165,679.11

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Solution

The fourth proportional to 418,362.39, 627,294 and 165,679.11 is: 248,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,362.39 : 627,294 = 165,679.11 : x
  2. Step 2: Convert to fraction form
    418,362.39/627,294 = 165,679.11/x
  3. Step 3: Cross multiply
    418,362.39x = 627,294 × 165,679.11
  4. Step 4: Simplify right side
    418,362.39x = 103,929,511,628.34
  5. Step 5: Solve for x
    x = 103,929,511,628.34/418,362.39
  6. Step 6: Final answer
    x = 248,419.82

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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.