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Finding the Fourth Proportional to 766,012, 1,149,276.78 and 339,489.48

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Solution

The fourth proportional to 766,012, 1,149,276.78 and 339,489.48 is: 509,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,012 : 1,149,276.78 = 339,489.48 : x
  2. Step 2: Convert to fraction form
    766,012/1,149,276.78 = 339,489.48/x
  3. Step 3: Cross multiply
    766,012x = 1,149,276.78 × 339,489.48
  4. Step 4: Simplify right side
    766,012x = 390,167,376,418.27
  5. Step 5: Solve for x
    x = 390,167,376,418.27/766,012
  6. Step 6: Final answer
    x = 509,348.91

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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.