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Finding the Fourth Proportional to 512,606.93, 707,404.13 and 283,163.29

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Solution

The fourth proportional to 512,606.93, 707,404.13 and 283,163.29 is: 390,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,606.93 : 707,404.13 = 283,163.29 : x
  2. Step 2: Convert to fraction form
    512,606.93/707,404.13 = 283,163.29/x
  3. Step 3: Cross multiply
    512,606.93x = 707,404.13 × 283,163.29
  4. Step 4: Simplify right side
    512,606.93x = 200,310,884,259.87
  5. Step 5: Solve for x
    x = 200,310,884,259.87/512,606.93
  6. Step 6: Final answer
    x = 390,768.97

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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.