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Finding the Fourth Proportional to 289,212.90, 433,884.15 and 111,704.10

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Solution

The fourth proportional to 289,212.90, 433,884.15 and 111,704.10 is: 167,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.90 : 433,884.15 = 111,704.10 : x
  2. Step 2: Convert to fraction form
    289,212.90/433,884.15 = 111,704.10/x
  3. Step 3: Cross multiply
    289,212.90x = 433,884.15 × 111,704.10
  4. Step 4: Simplify right side
    289,212.90x = 48,466,638,480.02
  5. Step 5: Solve for x
    x = 48,466,638,480.02/289,212.90
  6. Step 6: Final answer
    x = 167,581.18

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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.