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Finding the Fourth Proportional to 210,398.50, 290,311.45 and 119,749.11

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Solution

The fourth proportional to 210,398.50, 290,311.45 and 119,749.11 is: 165,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,398.50 : 290,311.45 = 119,749.11 : x
  2. Step 2: Convert to fraction form
    210,398.50/290,311.45 = 119,749.11/x
  3. Step 3: Cross multiply
    210,398.50x = 290,311.45 × 119,749.11
  4. Step 4: Simplify right side
    210,398.50x = 34,764,537,760.31
  5. Step 5: Solve for x
    x = 34,764,537,760.31/210,398.50
  6. Step 6: Final answer
    x = 165,231.87

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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.