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Finding the Fourth Proportional to 276,930.22, 415,358.41 and 77,233.89

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Solution

The fourth proportional to 276,930.22, 415,358.41 and 77,233.89 is: 115,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,930.22 : 415,358.41 = 77,233.89 : x
  2. Step 2: Convert to fraction form
    276,930.22/415,358.41 = 77,233.89/x
  3. Step 3: Cross multiply
    276,930.22x = 415,358.41 × 77,233.89
  4. Step 4: Simplify right side
    276,930.22x = 32,079,745,748.51
  5. Step 5: Solve for x
    x = 32,079,745,748.51/276,930.22
  6. Step 6: Final answer
    x = 115,840.54

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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.