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Finding the Fourth Proportional to 309,231.36, 426,823.36 and 181,948

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Solution

The fourth proportional to 309,231.36, 426,823.36 and 181,948 is: 251,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,231.36 : 426,823.36 = 181,948 : x
  2. Step 2: Convert to fraction form
    309,231.36/426,823.36 = 181,948/x
  3. Step 3: Cross multiply
    309,231.36x = 426,823.36 × 181,948
  4. Step 4: Simplify right side
    309,231.36x = 77,659,656,705.28
  5. Step 5: Solve for x
    x = 77,659,656,705.28/309,231.36
  6. Step 6: Final answer
    x = 251,137.71

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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.