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Finding the Fourth Proportional to 511,864.72, 767,843.16 and 137,879.44

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Solution

The fourth proportional to 511,864.72, 767,843.16 and 137,879.44 is: 206,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,864.72 : 767,843.16 = 137,879.44 : x
  2. Step 2: Convert to fraction form
    511,864.72/767,843.16 = 137,879.44/x
  3. Step 3: Cross multiply
    511,864.72x = 767,843.16 × 137,879.44
  4. Step 4: Simplify right side
    511,864.72x = 105,869,784,908.63
  5. Step 5: Solve for x
    x = 105,869,784,908.63/511,864.72
  6. Step 6: Final answer
    x = 206,831.57

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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.