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Finding the Fourth Proportional to 313,939.88, 470,899.28 and 136,446.88

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Solution

The fourth proportional to 313,939.88, 470,899.28 and 136,446.88 is: 204,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,939.88 : 470,899.28 = 136,446.88 : x
  2. Step 2: Convert to fraction form
    313,939.88/470,899.28 = 136,446.88/x
  3. Step 3: Cross multiply
    313,939.88x = 470,899.28 × 136,446.88
  4. Step 4: Simplify right side
    313,939.88x = 64,252,737,550.25
  5. Step 5: Solve for x
    x = 64,252,737,550.25/313,939.88
  6. Step 6: Final answer
    x = 204,665.74

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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.