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Finding the Fourth Proportional to 372,239.82, 513,782.19 and 211,189.14

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Solution

The fourth proportional to 372,239.82, 513,782.19 and 211,189.14 is: 291,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,239.82 : 513,782.19 = 211,189.14 : x
  2. Step 2: Convert to fraction form
    372,239.82/513,782.19 = 211,189.14/x
  3. Step 3: Cross multiply
    372,239.82x = 513,782.19 × 211,189.14
  4. Step 4: Simplify right side
    372,239.82x = 108,505,218,853.42
  5. Step 5: Solve for x
    x = 108,505,218,853.42/372,239.82
  6. Step 6: Final answer
    x = 291,492.78

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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.