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Finding the Fourth Proportional to 511,986.46, 767,950.96 and 156,999.50

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Solution

The fourth proportional to 511,986.46, 767,950.96 and 156,999.50 is: 235,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.46 : 767,950.96 = 156,999.50 : x
  2. Step 2: Convert to fraction form
    511,986.46/767,950.96 = 156,999.50/x
  3. Step 3: Cross multiply
    511,986.46x = 767,950.96 × 156,999.50
  4. Step 4: Simplify right side
    511,986.46x = 120,567,916,744.52
  5. Step 5: Solve for x
    x = 120,567,916,744.52/511,986.46
  6. Step 6: Final answer
    x = 235,490.44

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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.