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Finding the Fourth Proportional to 438,057.70, 656,827.35 and 228,105.70

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Solution

The fourth proportional to 438,057.70, 656,827.35 and 228,105.70 is: 342,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,057.70 : 656,827.35 = 228,105.70 : x
  2. Step 2: Convert to fraction form
    438,057.70/656,827.35 = 228,105.70/x
  3. Step 3: Cross multiply
    438,057.70x = 656,827.35 × 228,105.70
  4. Step 4: Simplify right side
    438,057.70x = 149,826,062,450.90
  5. Step 5: Solve for x
    x = 149,826,062,450.90/438,057.70
  6. Step 6: Final answer
    x = 342,023.58

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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.