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Finding the Fourth Proportional to 422,740.28, 634,101.03 and 102,893.51

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Solution

The fourth proportional to 422,740.28, 634,101.03 and 102,893.51 is: 154,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,740.28 : 634,101.03 = 102,893.51 : x
  2. Step 2: Convert to fraction form
    422,740.28/634,101.03 = 102,893.51/x
  3. Step 3: Cross multiply
    422,740.28x = 634,101.03 × 102,893.51
  4. Step 4: Simplify right side
    422,740.28x = 65,244,877,500.81
  5. Step 5: Solve for x
    x = 65,244,877,500.81/422,740.28
  6. Step 6: Final answer
    x = 154,337.97

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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.