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Finding the Fourth Proportional to 511,912.98, 768,017.09 and 156,979.28

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Solution

The fourth proportional to 511,912.98, 768,017.09 and 156,979.28 is: 235,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.98 : 768,017.09 = 156,979.28 : x
  2. Step 2: Convert to fraction form
    511,912.98/768,017.09 = 156,979.28/x
  3. Step 3: Cross multiply
    511,912.98x = 768,017.09 × 156,979.28
  4. Step 4: Simplify right side
    511,912.98x = 120,562,772,128.39
  5. Step 5: Solve for x
    x = 120,562,772,128.39/511,912.98
  6. Step 6: Final answer
    x = 235,514.19

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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.