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Finding the Fourth Proportional to 313,821.83, 470,728.65 and 77,166.56

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Solution

The fourth proportional to 313,821.83, 470,728.65 and 77,166.56 is: 115,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.83 : 470,728.65 = 77,166.56 : x
  2. Step 2: Convert to fraction form
    313,821.83/470,728.65 = 77,166.56/x
  3. Step 3: Cross multiply
    313,821.83x = 470,728.65 × 77,166.56
  4. Step 4: Simplify right side
    313,821.83x = 36,324,510,613.94
  5. Step 5: Solve for x
    x = 36,324,510,613.94/313,821.83
  6. Step 6: Final answer
    x = 115,748.83

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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.