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Finding the Fourth Proportional to 299,751.28, 449,616.54 and 75,113.68

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Solution

The fourth proportional to 299,751.28, 449,616.54 and 75,113.68 is: 112,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,751.28 : 449,616.54 = 75,113.68 : x
  2. Step 2: Convert to fraction form
    299,751.28/449,616.54 = 75,113.68/x
  3. Step 3: Cross multiply
    299,751.28x = 449,616.54 × 75,113.68
  4. Step 4: Simplify right side
    299,751.28x = 33,772,352,908.27
  5. Step 5: Solve for x
    x = 33,772,352,908.27/299,751.28
  6. Step 6: Final answer
    x = 112,667.92

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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.