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Finding the Fourth Proportional to 381,253.40, 571,684.82 and 201,435.36

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Solution

The fourth proportional to 381,253.40, 571,684.82 and 201,435.36 is: 302,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,253.40 : 571,684.82 = 201,435.36 : x
  2. Step 2: Convert to fraction form
    381,253.40/571,684.82 = 201,435.36/x
  3. Step 3: Cross multiply
    381,253.40x = 571,684.82 × 201,435.36
  4. Step 4: Simplify right side
    381,253.40x = 115,157,537,523.24
  5. Step 5: Solve for x
    x = 115,157,537,523.24/381,253.40
  6. Step 6: Final answer
    x = 302,049.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.