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Finding the Fourth Proportional to 511,381.97, 766,949.94 and 156,399.07

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Solution

The fourth proportional to 511,381.97, 766,949.94 and 156,399.07 is: 234,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,381.97 : 766,949.94 = 156,399.07 : x
  2. Step 2: Convert to fraction form
    511,381.97/766,949.94 = 156,399.07/x
  3. Step 3: Cross multiply
    511,381.97x = 766,949.94 × 156,399.07
  4. Step 4: Simplify right side
    511,381.97x = 119,950,256,873.21
  5. Step 5: Solve for x
    x = 119,950,256,873.21/511,381.97
  6. Step 6: Final answer
    x = 234,560.98

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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.