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Finding the Fourth Proportional to 299,685.76, 448,810.52 and 218,414.96

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Solution

The fourth proportional to 299,685.76, 448,810.52 and 218,414.96 is: 327,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,685.76 : 448,810.52 = 218,414.96 : x
  2. Step 2: Convert to fraction form
    299,685.76/448,810.52 = 218,414.96/x
  3. Step 3: Cross multiply
    299,685.76x = 448,810.52 × 218,414.96
  4. Step 4: Simplify right side
    299,685.76x = 98,026,933,031.91
  5. Step 5: Solve for x
    x = 98,026,933,031.91/299,685.76
  6. Step 6: Final answer
    x = 327,099.07

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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.