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Finding the Fourth Proportional to 289,076.20, 433,031.10 and 200,429.80

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Solution

The fourth proportional to 289,076.20, 433,031.10 and 200,429.80 is: 300,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076.20 : 433,031.10 = 200,429.80 : x
  2. Step 2: Convert to fraction form
    289,076.20/433,031.10 = 200,429.80/x
  3. Step 3: Cross multiply
    289,076.20x = 433,031.10 × 200,429.80
  4. Step 4: Simplify right side
    289,076.20x = 86,792,336,766.78
  5. Step 5: Solve for x
    x = 86,792,336,766.78/289,076.20
  6. Step 6: Final answer
    x = 300,240.34

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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.