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Finding the Fourth Proportional to 400,540.86, 552,747.51 and 221,692.86

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Solution

The fourth proportional to 400,540.86, 552,747.51 and 221,692.86 is: 305,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,540.86 : 552,747.51 = 221,692.86 : x
  2. Step 2: Convert to fraction form
    400,540.86/552,747.51 = 221,692.86/x
  3. Step 3: Cross multiply
    400,540.86x = 552,747.51 × 221,692.86
  4. Step 4: Simplify right side
    400,540.86x = 122,540,176,349.78
  5. Step 5: Solve for x
    x = 122,540,176,349.78/400,540.86
  6. Step 6: Final answer
    x = 305,936.77

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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.