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Finding the Fourth Proportional to 468,640.38, 646,724.07 and 253,780.68

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Solution

The fourth proportional to 468,640.38, 646,724.07 and 253,780.68 is: 350,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,640.38 : 646,724.07 = 253,780.68 : x
  2. Step 2: Convert to fraction form
    468,640.38/646,724.07 = 253,780.68/x
  3. Step 3: Cross multiply
    468,640.38x = 646,724.07 × 253,780.68
  4. Step 4: Simplify right side
    468,640.38x = 164,126,074,256.97
  5. Step 5: Solve for x
    x = 164,126,074,256.97/468,640.38
  6. Step 6: Final answer
    x = 350,217.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.