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Finding the Fourth Proportional to 410,129.80, 614,676.30 and 199,313.80

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Solution

The fourth proportional to 410,129.80, 614,676.30 and 199,313.80 is: 298,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,129.80 : 614,676.30 = 199,313.80 : x
  2. Step 2: Convert to fraction form
    410,129.80/614,676.30 = 199,313.80/x
  3. Step 3: Cross multiply
    410,129.80x = 614,676.30 × 199,313.80
  4. Step 4: Simplify right side
    410,129.80x = 122,513,469,122.94
  5. Step 5: Solve for x
    x = 122,513,469,122.94/410,129.80
  6. Step 6: Final answer
    x = 298,718.77

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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.