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Finding the Fourth Proportional to 289,211.52, 433,941.18 and 111,843.09

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Solution

The fourth proportional to 289,211.52, 433,941.18 and 111,843.09 is: 167,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.52 : 433,941.18 = 111,843.09 : x
  2. Step 2: Convert to fraction form
    289,211.52/433,941.18 = 111,843.09/x
  3. Step 3: Cross multiply
    289,211.52x = 433,941.18 × 111,843.09
  4. Step 4: Simplify right side
    289,211.52x = 48,533,320,402.76
  5. Step 5: Solve for x
    x = 48,533,320,402.76/289,211.52
  6. Step 6: Final answer
    x = 167,812.54

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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.