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Finding the Fourth Proportional to 281,428.38, 422,298.42 and 104,051.76

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Solution

The fourth proportional to 281,428.38, 422,298.42 and 104,051.76 is: 156,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,428.38 : 422,298.42 = 104,051.76 : x
  2. Step 2: Convert to fraction form
    281,428.38/422,298.42 = 104,051.76/x
  3. Step 3: Cross multiply
    281,428.38x = 422,298.42 × 104,051.76
  4. Step 4: Simplify right side
    281,428.38x = 43,940,893,846.22
  5. Step 5: Solve for x
    x = 43,940,893,846.22/281,428.38
  6. Step 6: Final answer
    x = 156,135.26

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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.