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Finding the Fourth Proportional to 422,594.05, 634,096.11 and 185,905.98

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Solution

The fourth proportional to 422,594.05, 634,096.11 and 185,905.98 is: 278,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,594.05 : 634,096.11 = 185,905.98 : x
  2. Step 2: Convert to fraction form
    422,594.05/634,096.11 = 185,905.98/x
  3. Step 3: Cross multiply
    422,594.05x = 634,096.11 × 185,905.98
  4. Step 4: Simplify right side
    422,594.05x = 117,882,258,743.74
  5. Step 5: Solve for x
    x = 117,882,258,743.74/422,594.05
  6. Step 6: Final answer
    x = 278,949.17

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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.