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Finding the Fourth Proportional to 409,465.38, 564,761.44 and 271,394.60

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Solution

The fourth proportional to 409,465.38, 564,761.44 and 271,394.60 is: 374,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,465.38 : 564,761.44 = 271,394.60 : x
  2. Step 2: Convert to fraction form
    409,465.38/564,761.44 = 271,394.60/x
  3. Step 3: Cross multiply
    409,465.38x = 564,761.44 × 271,394.60
  4. Step 4: Simplify right side
    409,465.38x = 153,273,205,104.22
  5. Step 5: Solve for x
    x = 153,273,205,104.22/409,465.38
  6. Step 6: Final answer
    x = 374,325.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.