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Finding the Fourth Proportional to 289,231.90, 433,912.65 and 111,723.10

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Solution

The fourth proportional to 289,231.90, 433,912.65 and 111,723.10 is: 167,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,231.90 : 433,912.65 = 111,723.10 : x
  2. Step 2: Convert to fraction form
    289,231.90/433,912.65 = 111,723.10/x
  3. Step 3: Cross multiply
    289,231.90x = 433,912.65 × 111,723.10
  4. Step 4: Simplify right side
    289,231.90x = 48,478,066,387.22
  5. Step 5: Solve for x
    x = 48,478,066,387.22/289,231.90
  6. Step 6: Final answer
    x = 167,609.68

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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.