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Finding the Fourth Proportional to 418,138.20, 627,231.06 and 118,595.07

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Solution

The fourth proportional to 418,138.20, 627,231.06 and 118,595.07 is: 177,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,138.20 : 627,231.06 = 118,595.07 : x
  2. Step 2: Convert to fraction form
    418,138.20/627,231.06 = 118,595.07/x
  3. Step 3: Cross multiply
    418,138.20x = 627,231.06 × 118,595.07
  4. Step 4: Simplify right side
    418,138.20x = 74,386,511,466.87
  5. Step 5: Solve for x
    x = 74,386,511,466.87/418,138.20
  6. Step 6: Final answer
    x = 177,899.34

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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.