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Finding the Fourth Proportional to 512,789.35, 707,189.61 and 427,032.29

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Solution

The fourth proportional to 512,789.35, 707,189.61 and 427,032.29 is: 588,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,789.35 : 707,189.61 = 427,032.29 : x
  2. Step 2: Convert to fraction form
    512,789.35/707,189.61 = 427,032.29/x
  3. Step 3: Cross multiply
    512,789.35x = 707,189.61 × 427,032.29
  4. Step 4: Simplify right side
    512,789.35x = 301,992,799,796.35
  5. Step 5: Solve for x
    x = 301,992,799,796.35/512,789.35
  6. Step 6: Final answer
    x = 588,921.75

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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.