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Finding the Fourth Proportional to 652,165.29, 978,466.77 and 252,819.09

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Solution

The fourth proportional to 652,165.29, 978,466.77 and 252,819.09 is: 379,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,165.29 : 978,466.77 = 252,819.09 : x
  2. Step 2: Convert to fraction form
    652,165.29/978,466.77 = 252,819.09/x
  3. Step 3: Cross multiply
    652,165.29x = 978,466.77 × 252,819.09
  4. Step 4: Simplify right side
    652,165.29x = 247,375,078,386.64
  5. Step 5: Solve for x
    x = 247,375,078,386.64/652,165.29
  6. Step 6: Final answer
    x = 379,313.47

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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.