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Finding the Fourth Proportional to 378,068.40, 567,758.70 and 200,921.40

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Solution

The fourth proportional to 378,068.40, 567,758.70 and 200,921.40 is: 301,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,068.40 : 567,758.70 = 200,921.40 : x
  2. Step 2: Convert to fraction form
    378,068.40/567,758.70 = 200,921.40/x
  3. Step 3: Cross multiply
    378,068.40x = 567,758.70 × 200,921.40
  4. Step 4: Simplify right side
    378,068.40x = 114,074,872,866.18
  5. Step 5: Solve for x
    x = 114,074,872,866.18/378,068.40
  6. Step 6: Final answer
    x = 301,730.78

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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.