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Finding the Fourth Proportional to 427,611.36, 641,394.18 and 161,354.64

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Solution

The fourth proportional to 427,611.36, 641,394.18 and 161,354.64 is: 242,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,611.36 : 641,394.18 = 161,354.64 : x
  2. Step 2: Convert to fraction form
    427,611.36/641,394.18 = 161,354.64/x
  3. Step 3: Cross multiply
    427,611.36x = 641,394.18 × 161,354.64
  4. Step 4: Simplify right side
    427,611.36x = 103,491,927,012.00
  5. Step 5: Solve for x
    x = 103,491,927,012.00/427,611.36
  6. Step 6: Final answer
    x = 242,023.33

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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.