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Finding the Fourth Proportional to 512,204.28, 706,844.54 and 282,757.48

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Solution

The fourth proportional to 512,204.28, 706,844.54 and 282,757.48 is: 390,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,204.28 : 706,844.54 = 282,757.48 : x
  2. Step 2: Convert to fraction form
    512,204.28/706,844.54 = 282,757.48/x
  3. Step 3: Cross multiply
    512,204.28x = 706,844.54 × 282,757.48
  4. Step 4: Simplify right side
    512,204.28x = 199,865,580,882.16
  5. Step 5: Solve for x
    x = 199,865,580,882.16/512,204.28
  6. Step 6: Final answer
    x = 390,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.