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Finding the Fourth Proportional to 511,934.78, 767,304.18 and 385,167.68

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Solution

The fourth proportional to 511,934.78, 767,304.18 and 385,167.68 is: 577,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,934.78 : 767,304.18 = 385,167.68 : x
  2. Step 2: Convert to fraction form
    511,934.78/767,304.18 = 385,167.68/x
  3. Step 3: Cross multiply
    511,934.78x = 767,304.18 × 385,167.68
  4. Step 4: Simplify right side
    511,934.78x = 295,540,770,864.90
  5. Step 5: Solve for x
    x = 295,540,770,864.90/511,934.78
  6. Step 6: Final answer
    x = 577,301.61

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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.