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Finding the Fourth Proportional to 300,170.88, 413,755.20 and 203,345.28

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Solution

The fourth proportional to 300,170.88, 413,755.20 and 203,345.28 is: 280,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,170.88 : 413,755.20 = 203,345.28 : x
  2. Step 2: Convert to fraction form
    300,170.88/413,755.20 = 203,345.28/x
  3. Step 3: Cross multiply
    300,170.88x = 413,755.20 × 203,345.28
  4. Step 4: Simplify right side
    300,170.88x = 84,135,166,995.46
  5. Step 5: Solve for x
    x = 84,135,166,995.46/300,170.88
  6. Step 6: Final answer
    x = 280,290.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.