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Finding the Fourth Proportional to 262,609.70, 393,390.27 and 202,427.78

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Solution

The fourth proportional to 262,609.70, 393,390.27 and 202,427.78 is: 303,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,609.70 : 393,390.27 = 202,427.78 : x
  2. Step 2: Convert to fraction form
    262,609.70/393,390.27 = 202,427.78/x
  3. Step 3: Cross multiply
    262,609.70x = 393,390.27 × 202,427.78
  4. Step 4: Simplify right side
    262,609.70x = 79,633,117,062.75
  5. Step 5: Solve for x
    x = 79,633,117,062.75/262,609.70
  6. Step 6: Final answer
    x = 303,237.54

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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.