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Finding the Fourth Proportional to 511,676.96, 767,517.23 and 156,689.42

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Solution

The fourth proportional to 511,676.96, 767,517.23 and 156,689.42 is: 235,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,676.96 : 767,517.23 = 156,689.42 : x
  2. Step 2: Convert to fraction form
    511,676.96/767,517.23 = 156,689.42/x
  3. Step 3: Cross multiply
    511,676.96x = 767,517.23 × 156,689.42
  4. Step 4: Simplify right side
    511,676.96x = 120,261,826,162.84
  5. Step 5: Solve for x
    x = 120,261,826,162.84/511,676.96
  6. Step 6: Final answer
    x = 235,034.67

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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.