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Finding the Fourth Proportional to 777,908.60, 1,166,862.78 and 186,932.60

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Solution

The fourth proportional to 777,908.60, 1,166,862.78 and 186,932.60 is: 280,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,908.60 : 1,166,862.78 = 186,932.60 : x
  2. Step 2: Convert to fraction form
    777,908.60/1,166,862.78 = 186,932.60/x
  3. Step 3: Cross multiply
    777,908.60x = 1,166,862.78 × 186,932.60
  4. Step 4: Simplify right side
    777,908.60x = 218,124,693,308.63
  5. Step 5: Solve for x
    x = 218,124,693,308.63/777,908.60
  6. Step 6: Final answer
    x = 280,398.87

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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.