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Finding the Fourth Proportional to 228,905.60, 343,358.40 and 191,507.90

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Solution

The fourth proportional to 228,905.60, 343,358.40 and 191,507.90 is: 287,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,905.60 : 343,358.40 = 191,507.90 : x
  2. Step 2: Convert to fraction form
    228,905.60/343,358.40 = 191,507.90/x
  3. Step 3: Cross multiply
    228,905.60x = 343,358.40 × 191,507.90
  4. Step 4: Simplify right side
    228,905.60x = 65,755,846,131.36
  5. Step 5: Solve for x
    x = 65,755,846,131.36/228,905.60
  6. Step 6: Final answer
    x = 287,261.85

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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.