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Finding the Fourth Proportional to 305,905.08, 422,154.54 and 171,773.88

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Solution

The fourth proportional to 305,905.08, 422,154.54 and 171,773.88 is: 237,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.08 : 422,154.54 = 171,773.88 : x
  2. Step 2: Convert to fraction form
    305,905.08/422,154.54 = 171,773.88/x
  3. Step 3: Cross multiply
    305,905.08x = 422,154.54 × 171,773.88
  4. Step 4: Simplify right side
    305,905.08x = 72,515,123,295.42
  5. Step 5: Solve for x
    x = 72,515,123,295.42/305,905.08
  6. Step 6: Final answer
    x = 237,051.06

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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.