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Finding the Fourth Proportional to 422,564.82, 634,096.40 and 156,512.22

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Solution

The fourth proportional to 422,564.82, 634,096.40 and 156,512.22 is: 234,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,564.82 : 634,096.40 = 156,512.22 : x
  2. Step 2: Convert to fraction form
    422,564.82/634,096.40 = 156,512.22/x
  3. Step 3: Cross multiply
    422,564.82x = 634,096.40 × 156,512.22
  4. Step 4: Simplify right side
    422,564.82x = 99,243,835,258.01
  5. Step 5: Solve for x
    x = 99,243,835,258.01/422,564.82
  6. Step 6: Final answer
    x = 234,860.62

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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.