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Finding the Fourth Proportional to 313,385.63, 470,265.23 and 113,721.59

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Solution

The fourth proportional to 313,385.63, 470,265.23 and 113,721.59 is: 170,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,385.63 : 470,265.23 = 113,721.59 : x
  2. Step 2: Convert to fraction form
    313,385.63/470,265.23 = 113,721.59/x
  3. Step 3: Cross multiply
    313,385.63x = 470,265.23 × 113,721.59
  4. Step 4: Simplify right side
    313,385.63x = 53,479,311,137.28
  5. Step 5: Solve for x
    x = 53,479,311,137.28/313,385.63
  6. Step 6: Final answer
    x = 170,650.17

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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.