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Finding the Fourth Proportional to 290,233.73, 435,238.52 and 112,716.77

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Solution

The fourth proportional to 290,233.73, 435,238.52 and 112,716.77 is: 169,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233.73 : 435,238.52 = 112,716.77 : x
  2. Step 2: Convert to fraction form
    290,233.73/435,238.52 = 112,716.77/x
  3. Step 3: Cross multiply
    290,233.73x = 435,238.52 × 112,716.77
  4. Step 4: Simplify right side
    290,233.73x = 49,058,677,414.20
  5. Step 5: Solve for x
    x = 49,058,677,414.20/290,233.73
  6. Step 6: Final answer
    x = 169,031.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.