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Finding the Fourth Proportional to 309,238.78, 423,551.97 and 291,081.82

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Solution

The fourth proportional to 309,238.78, 423,551.97 and 291,081.82 is: 398,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,238.78 : 423,551.97 = 291,081.82 : x
  2. Step 2: Convert to fraction form
    309,238.78/423,551.97 = 291,081.82/x
  3. Step 3: Cross multiply
    309,238.78x = 423,551.97 × 291,081.82
  4. Step 4: Simplify right side
    309,238.78x = 123,288,278,292.19
  5. Step 5: Solve for x
    x = 123,288,278,292.19/309,238.78
  6. Step 6: Final answer
    x = 398,683.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.