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Finding the Fourth Proportional to 978,077.22, 1,467,126.02 and 268,105.33

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Solution

The fourth proportional to 978,077.22, 1,467,126.02 and 268,105.33 is: 402,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,077.22 : 1,467,126.02 = 268,105.33 : x
  2. Step 2: Convert to fraction form
    978,077.22/1,467,126.02 = 268,105.33/x
  3. Step 3: Cross multiply
    978,077.22x = 1,467,126.02 × 268,105.33
  4. Step 4: Simplify right side
    978,077.22x = 393,344,305,743.69
  5. Step 5: Solve for x
    x = 393,344,305,743.69/978,077.22
  6. Step 6: Final answer
    x = 402,160.79

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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.