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Finding the Fourth Proportional to 468,640.63, 646,724.42 and 253,780.93

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Solution

The fourth proportional to 468,640.63, 646,724.42 and 253,780.93 is: 350,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,640.63 : 646,724.42 = 253,780.93 : x
  2. Step 2: Convert to fraction form
    468,640.63/646,724.42 = 253,780.93/x
  3. Step 3: Cross multiply
    468,640.63x = 646,724.42 × 253,780.93
  4. Step 4: Simplify right side
    468,640.63x = 164,126,324,761.31
  5. Step 5: Solve for x
    x = 164,126,324,761.31/468,640.63
  6. Step 6: Final answer
    x = 350,217.87

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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.