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Finding the Fourth Proportional to 312,939.86, 431,671.98 and 199,762.61

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Solution

The fourth proportional to 312,939.86, 431,671.98 and 199,762.61 is: 275,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,939.86 : 431,671.98 = 199,762.61 : x
  2. Step 2: Convert to fraction form
    312,939.86/431,671.98 = 199,762.61/x
  3. Step 3: Cross multiply
    312,939.86x = 431,671.98 × 199,762.61
  4. Step 4: Simplify right side
    312,939.86x = 86,231,919,979.42
  5. Step 5: Solve for x
    x = 86,231,919,979.42/312,939.86
  6. Step 6: Final answer
    x = 275,554.29

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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.