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Finding the Fourth Proportional to 410,610.60, 616,031.10 and 200,255.40

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Solution

The fourth proportional to 410,610.60, 616,031.10 and 200,255.40 is: 300,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,610.60 : 616,031.10 = 200,255.40 : x
  2. Step 2: Convert to fraction form
    410,610.60/616,031.10 = 200,255.40/x
  3. Step 3: Cross multiply
    410,610.60x = 616,031.10 × 200,255.40
  4. Step 4: Simplify right side
    410,610.60x = 123,363,554,342.94
  5. Step 5: Solve for x
    x = 123,363,554,342.94/410,610.60
  6. Step 6: Final answer
    x = 300,439.28

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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.