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Finding the Fourth Proportional to 418,442.70, 627,138.72 and 226,309.48

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Solution

The fourth proportional to 418,442.70, 627,138.72 and 226,309.48 is: 339,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,442.70 : 627,138.72 = 226,309.48 : x
  2. Step 2: Convert to fraction form
    418,442.70/627,138.72 = 226,309.48/x
  3. Step 3: Cross multiply
    418,442.70x = 627,138.72 × 226,309.48
  4. Step 4: Simplify right side
    418,442.70x = 141,927,436,043.22
  5. Step 5: Solve for x
    x = 141,927,436,043.22/418,442.70
  6. Step 6: Final answer
    x = 339,180.10

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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.