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Finding the Fourth Proportional to 309,233.36, 426,826.12 and 181,950

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Solution

The fourth proportional to 309,233.36, 426,826.12 and 181,950 is: 251,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,233.36 : 426,826.12 = 181,950 : x
  2. Step 2: Convert to fraction form
    309,233.36/426,826.12 = 181,950/x
  3. Step 3: Cross multiply
    309,233.36x = 426,826.12 × 181,950
  4. Step 4: Simplify right side
    309,233.36x = 77,661,012,534
  5. Step 5: Solve for x
    x = 77,661,012,534/309,233.36
  6. Step 6: Final answer
    x = 251,140.47

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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.