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Finding the Fourth Proportional to 511,701.96, 766,930.33 and 361,985.41

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Solution

The fourth proportional to 511,701.96, 766,930.33 and 361,985.41 is: 542,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,701.96 : 766,930.33 = 361,985.41 : x
  2. Step 2: Convert to fraction form
    511,701.96/766,930.33 = 361,985.41/x
  3. Step 3: Cross multiply
    511,701.96x = 766,930.33 × 361,985.41
  4. Step 4: Simplify right side
    511,701.96x = 277,617,585,007.48
  5. Step 5: Solve for x
    x = 277,617,585,007.48/511,701.96
  6. Step 6: Final answer
    x = 542,537.66

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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.