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Finding the Fourth Proportional to 418,236.42, 627,001.98 and 181,400.82

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Solution

The fourth proportional to 418,236.42, 627,001.98 and 181,400.82 is: 271,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,236.42 : 627,001.98 = 181,400.82 : x
  2. Step 2: Convert to fraction form
    418,236.42/627,001.98 = 181,400.82/x
  3. Step 3: Cross multiply
    418,236.42x = 627,001.98 × 181,400.82
  4. Step 4: Simplify right side
    418,236.42x = 113,738,673,313.62
  5. Step 5: Solve for x
    x = 113,738,673,313.62/418,236.42
  6. Step 6: Final answer
    x = 271,948.28

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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.