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Finding the Fourth Proportional to 410,076.60, 615,212.10 and 210,427.80

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Solution

The fourth proportional to 410,076.60, 615,212.10 and 210,427.80 is: 315,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.60 : 615,212.10 = 210,427.80 : x
  2. Step 2: Convert to fraction form
    410,076.60/615,212.10 = 210,427.80/x
  3. Step 3: Cross multiply
    410,076.60x = 615,212.10 × 210,427.80
  4. Step 4: Simplify right side
    410,076.60x = 129,457,728,736.38
  5. Step 5: Solve for x
    x = 129,457,728,736.38/410,076.60
  6. Step 6: Final answer
    x = 315,691.58

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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.