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Finding the Fourth Proportional to 418,388.73, 627,333.64 and 165,705.48

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Solution

The fourth proportional to 418,388.73, 627,333.64 and 165,705.48 is: 248,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,388.73 : 627,333.64 = 165,705.48 : x
  2. Step 2: Convert to fraction form
    418,388.73/627,333.64 = 165,705.48/x
  3. Step 3: Cross multiply
    418,388.73x = 627,333.64 × 165,705.48
  4. Step 4: Simplify right side
    418,388.73x = 103,952,621,936.35
  5. Step 5: Solve for x
    x = 103,952,621,936.35/418,388.73
  6. Step 6: Final answer
    x = 248,459.42

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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.