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Finding the Fourth Proportional to 285,012, 427,518 and 122,839.56

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Solution

The fourth proportional to 285,012, 427,518 and 122,839.56 is: 184,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,012 : 427,518 = 122,839.56 : x
  2. Step 2: Convert to fraction form
    285,012/427,518 = 122,839.56/x
  3. Step 3: Cross multiply
    285,012x = 427,518 × 122,839.56
  4. Step 4: Simplify right side
    285,012x = 52,516,123,012.08
  5. Step 5: Solve for x
    x = 52,516,123,012.08/285,012
  6. Step 6: Final answer
    x = 184,259.34

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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.