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Finding the Fourth Proportional to 511,249.16, 766,845.60 and 156,263

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Solution

The fourth proportional to 511,249.16, 766,845.60 and 156,263 is: 234,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,249.16 : 766,845.60 = 156,263 : x
  2. Step 2: Convert to fraction form
    511,249.16/766,845.60 = 156,263/x
  3. Step 3: Cross multiply
    511,249.16x = 766,845.60 × 156,263
  4. Step 4: Simplify right side
    511,249.16x = 119,829,593,992.80
  5. Step 5: Solve for x
    x = 119,829,593,992.80/511,249.16
  6. Step 6: Final answer
    x = 234,385.90

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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.