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Finding the Fourth Proportional to 1,832,691.42, 2,747,932.29 and 821,630.52

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Solution

The fourth proportional to 1,832,691.42, 2,747,932.29 and 821,630.52 is: 1,231,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,691.42 : 2,747,932.29 = 821,630.52 : x
  2. Step 2: Convert to fraction form
    1,832,691.42/2,747,932.29 = 821,630.52/x
  3. Step 3: Cross multiply
    1,832,691.42x = 2,747,932.29 × 821,630.52
  4. Step 4: Simplify right side
    1,832,691.42x = 2,257,785,036,357.49
  5. Step 5: Solve for x
    x = 2,257,785,036,357.49/1,832,691.42
  6. Step 6: Final answer
    x = 1,231,950.46

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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.