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Finding the Fourth Proportional to 766,098, 1,149,147 and 240,786

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Solution

The fourth proportional to 766,098, 1,149,147 and 240,786 is: 361,179

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,098 : 1,149,147 = 240,786 : x
  2. Step 2: Convert to fraction form
    766,098/1,149,147 = 240,786/x
  3. Step 3: Cross multiply
    766,098x = 1,149,147 × 240,786
  4. Step 4: Simplify right side
    766,098x = 276,698,509,542
  5. Step 5: Solve for x
    x = 276,698,509,542/766,098
  6. Step 6: Final answer
    x = 361,179

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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.