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Finding the Fourth Proportional to 381,533.14, 572,167.51 and 191,920.22

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Solution

The fourth proportional to 381,533.14, 572,167.51 and 191,920.22 is: 287,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,533.14 : 572,167.51 = 191,920.22 : x
  2. Step 2: Convert to fraction form
    381,533.14/572,167.51 = 191,920.22/x
  3. Step 3: Cross multiply
    381,533.14x = 572,167.51 × 191,920.22
  4. Step 4: Simplify right side
    381,533.14x = 109,810,514,396.05
  5. Step 5: Solve for x
    x = 109,810,514,396.05/381,533.14
  6. Step 6: Final answer
    x = 287,813.83

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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.