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Finding the Fourth Proportional to 313,913.57, 470,859.93 and 136,420.76

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Solution

The fourth proportional to 313,913.57, 470,859.93 and 136,420.76 is: 204,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,913.57 : 470,859.93 = 136,420.76 : x
  2. Step 2: Convert to fraction form
    313,913.57/470,859.93 = 136,420.76/x
  3. Step 3: Cross multiply
    313,913.57x = 470,859.93 × 136,420.76
  4. Step 4: Simplify right side
    313,913.57x = 64,235,067,149.85
  5. Step 5: Solve for x
    x = 64,235,067,149.85/313,913.57
  6. Step 6: Final answer
    x = 204,626.61

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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.