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Finding the Fourth Proportional to 288,967.70, 433,451.55 and 200,321.30

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Solution

The fourth proportional to 288,967.70, 433,451.55 and 200,321.30 is: 300,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.70 : 433,451.55 = 200,321.30 : x
  2. Step 2: Convert to fraction form
    288,967.70/433,451.55 = 200,321.30/x
  3. Step 3: Cross multiply
    288,967.70x = 433,451.55 × 200,321.30
  4. Step 4: Simplify right side
    288,967.70x = 86,829,577,983.02
  5. Step 5: Solve for x
    x = 86,829,577,983.02/288,967.70
  6. Step 6: Final answer
    x = 300,481.95

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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.