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Finding the Fourth Proportional to 378,805.20, 567,814.20 and 154,069.20

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Solution

The fourth proportional to 378,805.20, 567,814.20 and 154,069.20 is: 230,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,805.20 : 567,814.20 = 154,069.20 : x
  2. Step 2: Convert to fraction form
    378,805.20/567,814.20 = 154,069.20/x
  3. Step 3: Cross multiply
    378,805.20x = 567,814.20 × 154,069.20
  4. Step 4: Simplify right side
    378,805.20x = 87,482,679,542.64
  5. Step 5: Solve for x
    x = 87,482,679,542.64/378,805.20
  6. Step 6: Final answer
    x = 230,943.71

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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.