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Finding the Fourth Proportional to 289,168.38, 433,682.71 and 111,562.11

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Solution

The fourth proportional to 289,168.38, 433,682.71 and 111,562.11 is: 167,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,168.38 : 433,682.71 = 111,562.11 : x
  2. Step 2: Convert to fraction form
    289,168.38/433,682.71 = 111,562.11/x
  3. Step 3: Cross multiply
    289,168.38x = 433,682.71 × 111,562.11
  4. Step 4: Simplify right side
    289,168.38x = 48,382,557,919.21
  5. Step 5: Solve for x
    x = 48,382,557,919.21/289,168.38
  6. Step 6: Final answer
    x = 167,316.21

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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.