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Finding the Fourth Proportional to 311,804.33, 430,279.49 and 197,144.69

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Solution

The fourth proportional to 311,804.33, 430,279.49 and 197,144.69 is: 272,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,804.33 : 430,279.49 = 197,144.69 : x
  2. Step 2: Convert to fraction form
    311,804.33/430,279.49 = 197,144.69/x
  3. Step 3: Cross multiply
    311,804.33x = 430,279.49 × 197,144.69
  4. Step 4: Simplify right side
    311,804.33x = 84,827,315,010.87
  5. Step 5: Solve for x
    x = 84,827,315,010.87/311,804.33
  6. Step 6: Final answer
    x = 272,053.04

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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.