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Finding the Fourth Proportional to 226,431.50, 339,804.05 and 84,406.50

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Solution

The fourth proportional to 226,431.50, 339,804.05 and 84,406.50 is: 126,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,431.50 : 339,804.05 = 84,406.50 : x
  2. Step 2: Convert to fraction form
    226,431.50/339,804.05 = 84,406.50/x
  3. Step 3: Cross multiply
    226,431.50x = 339,804.05 × 84,406.50
  4. Step 4: Simplify right side
    226,431.50x = 28,681,670,124.29
  5. Step 5: Solve for x
    x = 28,681,670,124.29/226,431.50
  6. Step 6: Final answer
    x = 126,668.20

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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.