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Finding the Fourth Proportional to 228,944.70, 343,438.92 and 71,130.78

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Solution

The fourth proportional to 228,944.70, 343,438.92 and 71,130.78 is: 106,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,944.70 : 343,438.92 = 71,130.78 : x
  2. Step 2: Convert to fraction form
    228,944.70/343,438.92 = 71,130.78/x
  3. Step 3: Cross multiply
    228,944.70x = 343,438.92 × 71,130.78
  4. Step 4: Simplify right side
    228,944.70x = 24,429,078,261.96
  5. Step 5: Solve for x
    x = 24,429,078,261.96/228,944.70
  6. Step 6: Final answer
    x = 106,702.96

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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.