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Finding the Fourth Proportional to 641,704.52, 885,164.82 and 412,184.54

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Solution

The fourth proportional to 641,704.52, 885,164.82 and 412,184.54 is: 568,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,704.52 : 885,164.82 = 412,184.54 : x
  2. Step 2: Convert to fraction form
    641,704.52/885,164.82 = 412,184.54/x
  3. Step 3: Cross multiply
    641,704.52x = 885,164.82 × 412,184.54
  4. Step 4: Simplify right side
    641,704.52x = 364,851,254,155.88
  5. Step 5: Solve for x
    x = 364,851,254,155.88/641,704.52
  6. Step 6: Final answer
    x = 568,565.82

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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.