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Finding the Fourth Proportional to 313,958.96, 470,954.79 and 103,613.30

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Solution

The fourth proportional to 313,958.96, 470,954.79 and 103,613.30 is: 155,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,958.96 : 470,954.79 = 103,613.30 : x
  2. Step 2: Convert to fraction form
    313,958.96/470,954.79 = 103,613.30/x
  3. Step 3: Cross multiply
    313,958.96x = 470,954.79 × 103,613.30
  4. Step 4: Simplify right side
    313,958.96x = 48,797,179,942.71
  5. Step 5: Solve for x
    x = 48,797,179,942.71/313,958.96
  6. Step 6: Final answer
    x = 155,425.35

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1.5x scale

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.