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Finding the Fourth Proportional to 322,139.28, 483,208.47 and 135,150.78

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Solution

The fourth proportional to 322,139.28, 483,208.47 and 135,150.78 is: 202,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,139.28 : 483,208.47 = 135,150.78 : x
  2. Step 2: Convert to fraction form
    322,139.28/483,208.47 = 135,150.78/x
  3. Step 3: Cross multiply
    322,139.28x = 483,208.47 × 135,150.78
  4. Step 4: Simplify right side
    322,139.28x = 65,306,001,623.11
  5. Step 5: Solve for x
    x = 65,306,001,623.11/322,139.28
  6. Step 6: Final answer
    x = 202,725.98

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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.