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Finding the Fourth Proportional to 299,682.29, 448,805.31 and 218,411.49

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Solution

The fourth proportional to 299,682.29, 448,805.31 and 218,411.49 is: 327,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,682.29 : 448,805.31 = 218,411.49 : x
  2. Step 2: Convert to fraction form
    299,682.29/448,805.31 = 218,411.49/x
  3. Step 3: Cross multiply
    299,682.29x = 448,805.31 × 218,411.49
  4. Step 4: Simplify right side
    299,682.29x = 98,024,235,507.53
  5. Step 5: Solve for x
    x = 98,024,235,507.53/299,682.29
  6. Step 6: Final answer
    x = 327,093.86

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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.