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Finding the Fourth Proportional to 766,110, 1,149,165 and 240,798

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Solution

The fourth proportional to 766,110, 1,149,165 and 240,798 is: 361,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,110 : 1,149,165 = 240,798 : x
  2. Step 2: Convert to fraction form
    766,110/1,149,165 = 240,798/x
  3. Step 3: Cross multiply
    766,110x = 1,149,165 × 240,798
  4. Step 4: Simplify right side
    766,110x = 276,716,633,670
  5. Step 5: Solve for x
    x = 276,716,633,670/766,110
  6. Step 6: Final answer
    x = 361,197

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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.