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Finding the Fourth Proportional to 378,257.40, 568,042.20 and 201,110.40

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Solution

The fourth proportional to 378,257.40, 568,042.20 and 201,110.40 is: 302,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,257.40 : 568,042.20 = 201,110.40 : x
  2. Step 2: Convert to fraction form
    378,257.40/568,042.20 = 201,110.40/x
  3. Step 3: Cross multiply
    378,257.40x = 568,042.20 × 201,110.40
  4. Step 4: Simplify right side
    378,257.40x = 114,239,194,058.88
  5. Step 5: Solve for x
    x = 114,239,194,058.88/378,257.40
  6. Step 6: Final answer
    x = 302,014.43

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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.