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Finding the Fourth Proportional to 313,385.38, 470,264.85 and 113,721.34

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Solution

The fourth proportional to 313,385.38, 470,264.85 and 113,721.34 is: 170,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,385.38 : 470,264.85 = 113,721.34 : x
  2. Step 2: Convert to fraction form
    313,385.38/470,264.85 = 113,721.34/x
  3. Step 3: Cross multiply
    313,385.38x = 470,264.85 × 113,721.34
  4. Step 4: Simplify right side
    313,385.38x = 53,479,148,896.90
  5. Step 5: Solve for x
    x = 53,479,148,896.90/313,385.38
  6. Step 6: Final answer
    x = 170,649.79

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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.