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Finding the Fourth Proportional to 293,857.50, 405,523.35 and 159,721.50

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Solution

The fourth proportional to 293,857.50, 405,523.35 and 159,721.50 is: 220,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,857.50 : 405,523.35 = 159,721.50 : x
  2. Step 2: Convert to fraction form
    293,857.50/405,523.35 = 159,721.50/x
  3. Step 3: Cross multiply
    293,857.50x = 405,523.35 × 159,721.50
  4. Step 4: Simplify right side
    293,857.50x = 64,770,797,747.03
  5. Step 5: Solve for x
    x = 64,770,797,747.03/293,857.50
  6. Step 6: Final answer
    x = 220,415.67

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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.