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Finding the Fourth Proportional to 766,866.60, 1,150,737.30 and 293,891.40

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Solution

The fourth proportional to 766,866.60, 1,150,737.30 and 293,891.40 is: 441,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,866.60 : 1,150,737.30 = 293,891.40 : x
  2. Step 2: Convert to fraction form
    766,866.60/1,150,737.30 = 293,891.40/x
  3. Step 3: Cross multiply
    766,866.60x = 1,150,737.30 × 293,891.40
  4. Step 4: Simplify right side
    766,866.60x = 338,191,796,129.22
  5. Step 5: Solve for x
    x = 338,191,796,129.22/766,866.60
  6. Step 6: Final answer
    x = 441,004.73

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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.