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Finding the Fourth Proportional to 313,825.88, 470,689.20 and 136,285.22

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Solution

The fourth proportional to 313,825.88, 470,689.20 and 136,285.22 is: 204,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,825.88 : 470,689.20 = 136,285.22 : x
  2. Step 2: Convert to fraction form
    313,825.88/470,689.20 = 136,285.22/x
  3. Step 3: Cross multiply
    313,825.88x = 470,689.20 × 136,285.22
  4. Step 4: Simplify right side
    313,825.88x = 64,147,981,173.62
  5. Step 5: Solve for x
    x = 64,147,981,173.62/313,825.88
  6. Step 6: Final answer
    x = 204,406.28

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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.