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Finding the Fourth Proportional to 511,986.45, 767,950.97 and 156,999.50

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Solution

The fourth proportional to 511,986.45, 767,950.97 and 156,999.50 is: 235,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.45 : 767,950.97 = 156,999.50 : x
  2. Step 2: Convert to fraction form
    511,986.45/767,950.97 = 156,999.50/x
  3. Step 3: Cross multiply
    511,986.45x = 767,950.97 × 156,999.50
  4. Step 4: Simplify right side
    511,986.45x = 120,567,918,314.52
  5. Step 5: Solve for x
    x = 120,567,918,314.52/511,986.45
  6. Step 6: Final answer
    x = 235,490.45

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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.