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Finding the Fourth Proportional to 289,073.20, 433,026.60 and 200,426.80

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Solution

The fourth proportional to 289,073.20, 433,026.60 and 200,426.80 is: 300,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.20 : 433,026.60 = 200,426.80 : x
  2. Step 2: Convert to fraction form
    289,073.20/433,026.60 = 200,426.80/x
  3. Step 3: Cross multiply
    289,073.20x = 433,026.60 × 200,426.80
  4. Step 4: Simplify right side
    289,073.20x = 86,790,135,752.88
  5. Step 5: Solve for x
    x = 86,790,135,752.88/289,073.20
  6. Step 6: Final answer
    x = 300,235.84

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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.