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Finding the Fourth Proportional to 410,121.60, 614,491.20 and 199,305.60

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Solution

The fourth proportional to 410,121.60, 614,491.20 and 199,305.60 is: 298,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,121.60 : 614,491.20 = 199,305.60 : x
  2. Step 2: Convert to fraction form
    410,121.60/614,491.20 = 199,305.60/x
  3. Step 3: Cross multiply
    410,121.60x = 614,491.20 × 199,305.60
  4. Step 4: Simplify right side
    410,121.60x = 122,471,537,310.72
  5. Step 5: Solve for x
    x = 122,471,537,310.72/410,121.60
  6. Step 6: Final answer
    x = 298,622.50

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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.