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Finding the Fourth Proportional to 303,431.22, 418,498.40 and 194,545.97

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Solution

The fourth proportional to 303,431.22, 418,498.40 and 194,545.97 is: 268,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,431.22 : 418,498.40 = 194,545.97 : x
  2. Step 2: Convert to fraction form
    303,431.22/418,498.40 = 194,545.97/x
  3. Step 3: Cross multiply
    303,431.22x = 418,498.40 × 194,545.97
  4. Step 4: Simplify right side
    303,431.22x = 81,417,174,106.23
  5. Step 5: Solve for x
    x = 81,417,174,106.23/303,431.22
  6. Step 6: Final answer
    x = 268,321.68

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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.