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Finding the Fourth Proportional to 684,108.63, 944,069.31 and 412,188

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Solution

The fourth proportional to 684,108.63, 944,069.31 and 412,188 is: 568,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,108.63 : 944,069.31 = 412,188 : x
  2. Step 2: Convert to fraction form
    684,108.63/944,069.31 = 412,188/x
  3. Step 3: Cross multiply
    684,108.63x = 944,069.31 × 412,188
  4. Step 4: Simplify right side
    684,108.63x = 389,134,040,750.28
  5. Step 5: Solve for x
    x = 389,134,040,750.28/684,108.63
  6. Step 6: Final answer
    x = 568,819.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.