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Finding the Fourth Proportional to 313,679.97, 470,255.46 and 136,053.20

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Solution

The fourth proportional to 313,679.97, 470,255.46 and 136,053.20 is: 203,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,679.97 : 470,255.46 = 136,053.20 : x
  2. Step 2: Convert to fraction form
    313,679.97/470,255.46 = 136,053.20/x
  3. Step 3: Cross multiply
    313,679.97x = 470,255.46 × 136,053.20
  4. Step 4: Simplify right side
    313,679.97x = 63,979,760,815.91
  5. Step 5: Solve for x
    x = 63,979,760,815.91/313,679.97
  6. Step 6: Final answer
    x = 203,965.08

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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.