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Finding the Fourth Proportional to 289,169.20, 433,408.20 and 148,855.60

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Solution

The fourth proportional to 289,169.20, 433,408.20 and 148,855.60 is: 223,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,169.20 : 433,408.20 = 148,855.60 : x
  2. Step 2: Convert to fraction form
    289,169.20/433,408.20 = 148,855.60/x
  3. Step 3: Cross multiply
    289,169.20x = 433,408.20 × 148,855.60
  4. Step 4: Simplify right side
    289,169.20x = 64,515,237,655.92
  5. Step 5: Solve for x
    x = 64,515,237,655.92/289,169.20
  6. Step 6: Final answer
    x = 223,105.50

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1.5x scale

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.