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Finding the Fourth Proportional to 511,806.80, 767,682.50 and 156,821.85

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Solution

The fourth proportional to 511,806.80, 767,682.50 and 156,821.85 is: 235,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,806.80 : 767,682.50 = 156,821.85 : x
  2. Step 2: Convert to fraction form
    511,806.80/767,682.50 = 156,821.85/x
  3. Step 3: Cross multiply
    511,806.80x = 767,682.50 × 156,821.85
  4. Step 4: Simplify right side
    511,806.80x = 120,389,389,078.52
  5. Step 5: Solve for x
    x = 120,389,389,078.52/511,806.80
  6. Step 6: Final answer
    x = 235,224.29

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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.