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Finding the Fourth Proportional to 812,846.16, 1,219,687.56 and 386,864.64

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Solution

The fourth proportional to 812,846.16, 1,219,687.56 and 386,864.64 is: 580,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,846.16 : 1,219,687.56 = 386,864.64 : x
  2. Step 2: Convert to fraction form
    812,846.16/1,219,687.56 = 386,864.64/x
  3. Step 3: Cross multiply
    812,846.16x = 1,219,687.56 × 386,864.64
  4. Step 4: Simplify right side
    812,846.16x = 471,853,988,811.88
  5. Step 5: Solve for x
    x = 471,853,988,811.88/812,846.16
  6. Step 6: Final answer
    x = 580,496.05

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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.