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Finding the Fourth Proportional to 313,343.89, 469,970.73 and 100,136.11

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Solution

The fourth proportional to 313,343.89, 469,970.73 and 100,136.11 is: 150,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,343.89 : 469,970.73 = 100,136.11 : x
  2. Step 2: Convert to fraction form
    313,343.89/469,970.73 = 100,136.11/x
  3. Step 3: Cross multiply
    313,343.89x = 469,970.73 × 100,136.11
  4. Step 4: Simplify right side
    313,343.89x = 47,061,040,716.06
  5. Step 5: Solve for x
    x = 47,061,040,716.06/313,343.89
  6. Step 6: Final answer
    x = 150,189.75

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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.