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Finding the Fourth Proportional to 410,099.36, 615,149.30 and 140,229.49

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Solution

The fourth proportional to 410,099.36, 615,149.30 and 140,229.49 is: 210,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,099.36 : 615,149.30 = 140,229.49 : x
  2. Step 2: Convert to fraction form
    410,099.36/615,149.30 = 140,229.49/x
  3. Step 3: Cross multiply
    410,099.36x = 615,149.30 × 140,229.49
  4. Step 4: Simplify right side
    410,099.36x = 86,262,070,848.86
  5. Step 5: Solve for x
    x = 86,262,070,848.86/410,099.36
  6. Step 6: Final answer
    x = 210,344.32

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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.