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Finding the Fourth Proportional to 512,110, 707,044.64 and 458,302.48

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Solution

The fourth proportional to 512,110, 707,044.64 and 458,302.48 is: 632,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110 : 707,044.64 = 458,302.48 : x
  2. Step 2: Convert to fraction form
    512,110/707,044.64 = 458,302.48/x
  3. Step 3: Cross multiply
    512,110x = 707,044.64 × 458,302.48
  4. Step 4: Simplify right side
    512,110x = 324,040,311,982.71
  5. Step 5: Solve for x
    x = 324,040,311,982.71/512,110
  6. Step 6: Final answer
    x = 632,755.29

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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.