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Finding the Fourth Proportional to 210,488.64, 290,474.22 and 119,839.92

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Solution

The fourth proportional to 210,488.64, 290,474.22 and 119,839.92 is: 165,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,488.64 : 290,474.22 = 119,839.92 : x
  2. Step 2: Convert to fraction form
    210,488.64/290,474.22 = 119,839.92/x
  3. Step 3: Cross multiply
    210,488.64x = 290,474.22 × 119,839.92
  4. Step 4: Simplify right side
    210,488.64x = 34,810,407,286.86
  5. Step 5: Solve for x
    x = 34,810,407,286.86/210,488.64
  6. Step 6: Final answer
    x = 165,379.03

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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.