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Finding the Fourth Proportional to 378,022.20, 567,033.30 and 311,537.40

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Solution

The fourth proportional to 378,022.20, 567,033.30 and 311,537.40 is: 467,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,022.20 : 567,033.30 = 311,537.40 : x
  2. Step 2: Convert to fraction form
    378,022.20/567,033.30 = 311,537.40/x
  3. Step 3: Cross multiply
    378,022.20x = 567,033.30 × 311,537.40
  4. Step 4: Simplify right side
    378,022.20x = 176,652,079,995.42
  5. Step 5: Solve for x
    x = 176,652,079,995.42/378,022.20
  6. Step 6: Final answer
    x = 467,306.10

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1.5x scale

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.