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Finding the Fourth Proportional to 289,286.81, 433,958.75 and 99,722.24

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Solution

The fourth proportional to 289,286.81, 433,958.75 and 99,722.24 is: 149,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,286.81 : 433,958.75 = 99,722.24 : x
  2. Step 2: Convert to fraction form
    289,286.81/433,958.75 = 99,722.24/x
  3. Step 3: Cross multiply
    289,286.81x = 433,958.75 × 99,722.24
  4. Step 4: Simplify right side
    289,286.81x = 43,275,337,950.50
  5. Step 5: Solve for x
    x = 43,275,337,950.50/289,286.81
  6. Step 6: Final answer
    x = 149,593.19

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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.