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Finding the Fourth Proportional to 646,288.78, 969,876 and 225,564.66

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Solution

The fourth proportional to 646,288.78, 969,876 and 225,564.66 is: 338,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,288.78 : 969,876 = 225,564.66 : x
  2. Step 2: Convert to fraction form
    646,288.78/969,876 = 225,564.66/x
  3. Step 3: Cross multiply
    646,288.78x = 969,876 × 225,564.66
  4. Step 4: Simplify right side
    646,288.78x = 218,769,750,182.16
  5. Step 5: Solve for x
    x = 218,769,750,182.16/646,288.78
  6. Step 6: Final answer
    x = 338,501.54

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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.