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Finding the Fourth Proportional to 427,186.56, 640,468.80 and 205,311.36

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Solution

The fourth proportional to 427,186.56, 640,468.80 and 205,311.36 is: 307,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,186.56 : 640,468.80 = 205,311.36 : x
  2. Step 2: Convert to fraction form
    427,186.56/640,468.80 = 205,311.36/x
  3. Step 3: Cross multiply
    427,186.56x = 640,468.80 × 205,311.36
  4. Step 4: Simplify right side
    427,186.56x = 131,495,520,365.57
  5. Step 5: Solve for x
    x = 131,495,520,365.57/427,186.56
  6. Step 6: Final answer
    x = 307,817.55

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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.