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Finding the Fourth Proportional to 410,426.55, 615,121.43 and 199,610.55

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Solution

The fourth proportional to 410,426.55, 615,121.43 and 199,610.55 is: 299,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,426.55 : 615,121.43 = 199,610.55 : x
  2. Step 2: Convert to fraction form
    410,426.55/615,121.43 = 199,610.55/x
  3. Step 3: Cross multiply
    410,426.55x = 615,121.43 × 199,610.55
  4. Step 4: Simplify right side
    410,426.55x = 122,784,725,961.03
  5. Step 5: Solve for x
    x = 122,784,725,961.03/410,426.55
  6. Step 6: Final answer
    x = 299,163.70

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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.