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Finding the Fourth Proportional to 299,754.95, 449,854.16 and 141,983.75

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Solution

The fourth proportional to 299,754.95, 449,854.16 and 141,983.75 is: 213,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,754.95 : 449,854.16 = 141,983.75 : x
  2. Step 2: Convert to fraction form
    299,754.95/449,854.16 = 141,983.75/x
  3. Step 3: Cross multiply
    299,754.95x = 449,854.16 × 141,983.75
  4. Step 4: Simplify right side
    299,754.95x = 63,871,981,004.62
  5. Step 5: Solve for x
    x = 63,871,981,004.62/299,754.95
  6. Step 6: Final answer
    x = 213,080.66

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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.