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Finding the Fourth Proportional to 378,363.28, 567,899.22 and 191,506

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Solution

The fourth proportional to 378,363.28, 567,899.22 and 191,506 is: 287,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,363.28 : 567,899.22 = 191,506 : x
  2. Step 2: Convert to fraction form
    378,363.28/567,899.22 = 191,506/x
  3. Step 3: Cross multiply
    378,363.28x = 567,899.22 × 191,506
  4. Step 4: Simplify right side
    378,363.28x = 108,756,108,025.32
  5. Step 5: Solve for x
    x = 108,756,108,025.32/378,363.28
  6. Step 6: Final answer
    x = 287,438.33

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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.