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Finding the Fourth Proportional to 310,105.44, 427,721.85 and 284,692.50

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Solution

The fourth proportional to 310,105.44, 427,721.85 and 284,692.50 is: 392,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,105.44 : 427,721.85 = 284,692.50 : x
  2. Step 2: Convert to fraction form
    310,105.44/427,721.85 = 284,692.50/x
  3. Step 3: Cross multiply
    310,105.44x = 427,721.85 × 284,692.50
  4. Step 4: Simplify right side
    310,105.44x = 121,769,202,781.13
  5. Step 5: Solve for x
    x = 121,769,202,781.13/310,105.44
  6. Step 6: Final answer
    x = 392,670.32

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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.