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Finding the Fourth Proportional to 299,672.16, 449,357.76 and 99,921.84

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Solution

The fourth proportional to 299,672.16, 449,357.76 and 99,921.84 is: 149,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.16 : 449,357.76 = 99,921.84 : x
  2. Step 2: Convert to fraction form
    299,672.16/449,357.76 = 99,921.84/x
  3. Step 3: Cross multiply
    299,672.16x = 449,357.76 × 99,921.84
  4. Step 4: Simplify right side
    299,672.16x = 44,900,654,197.48
  5. Step 5: Solve for x
    x = 44,900,654,197.48/299,672.16
  6. Step 6: Final answer
    x = 149,832.58

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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.