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Finding the Fourth Proportional to 286,013.46, 394,756.02 and 165,174.42

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Solution

The fourth proportional to 286,013.46, 394,756.02 and 165,174.42 is: 227,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,013.46 : 394,756.02 = 165,174.42 : x
  2. Step 2: Convert to fraction form
    286,013.46/394,756.02 = 165,174.42/x
  3. Step 3: Cross multiply
    286,013.46x = 394,756.02 × 165,174.42
  4. Step 4: Simplify right side
    286,013.46x = 65,203,596,645.01
  5. Step 5: Solve for x
    x = 65,203,596,645.01/286,013.46
  6. Step 6: Final answer
    x = 227,973.87

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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.