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Finding the Fourth Proportional to 412,357.74, 568,283.10 and 321,569.91

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Solution

The fourth proportional to 412,357.74, 568,283.10 and 321,569.91 is: 443,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,357.74 : 568,283.10 = 321,569.91 : x
  2. Step 2: Convert to fraction form
    412,357.74/568,283.10 = 321,569.91/x
  3. Step 3: Cross multiply
    412,357.74x = 568,283.10 × 321,569.91
  4. Step 4: Simplify right side
    412,357.74x = 182,742,745,321.52
  5. Step 5: Solve for x
    x = 182,742,745,321.52/412,357.74
  6. Step 6: Final answer
    x = 443,165.55

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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.