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Finding the Fourth Proportional to 257,222.70, 354,880.98 and 149,769.72

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Solution

The fourth proportional to 257,222.70, 354,880.98 and 149,769.72 is: 206,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,222.70 : 354,880.98 = 149,769.72 : x
  2. Step 2: Convert to fraction form
    257,222.70/354,880.98 = 149,769.72/x
  3. Step 3: Cross multiply
    257,222.70x = 354,880.98 × 149,769.72
  4. Step 4: Simplify right side
    257,222.70x = 53,150,425,007.93
  5. Step 5: Solve for x
    x = 53,150,425,007.93/257,222.70
  6. Step 6: Final answer
    x = 206,631.94

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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.