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Finding the Fourth Proportional to 289,157.85, 433,753.79 and 111,665.79

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Solution

The fourth proportional to 289,157.85, 433,753.79 and 111,665.79 is: 167,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,157.85 : 433,753.79 = 111,665.79 : x
  2. Step 2: Convert to fraction form
    289,157.85/433,753.79 = 111,665.79/x
  3. Step 3: Cross multiply
    289,157.85x = 433,753.79 × 111,665.79
  4. Step 4: Simplify right side
    289,157.85x = 48,435,459,067.52
  5. Step 5: Solve for x
    x = 48,435,459,067.52/289,157.85
  6. Step 6: Final answer
    x = 167,505.25

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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.