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Finding the Fourth Proportional to 978,105.13, 1,467,162.77 and 445,253.52

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Solution

The fourth proportional to 978,105.13, 1,467,162.77 and 445,253.52 is: 667,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,105.13 : 1,467,162.77 = 445,253.52 : x
  2. Step 2: Convert to fraction form
    978,105.13/1,467,162.77 = 445,253.52/x
  3. Step 3: Cross multiply
    978,105.13x = 1,467,162.77 × 445,253.52
  4. Step 4: Simplify right side
    978,105.13x = 653,259,387,755.45
  5. Step 5: Solve for x
    x = 653,259,387,755.45/978,105.13
  6. Step 6: Final answer
    x = 667,882.59

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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.