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Finding the Fourth Proportional to 412,758.14, 568,834.94 and 321,970.28

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Solution

The fourth proportional to 412,758.14, 568,834.94 and 321,970.28 is: 443,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,758.14 : 568,834.94 = 321,970.28 : x
  2. Step 2: Convert to fraction form
    412,758.14/568,834.94 = 321,970.28/x
  3. Step 3: Cross multiply
    412,758.14x = 568,834.94 × 321,970.28
  4. Step 4: Simplify right side
    412,758.14x = 183,147,944,905.58
  5. Step 5: Solve for x
    x = 183,147,944,905.58/412,758.14
  6. Step 6: Final answer
    x = 443,717.34

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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.