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Finding the Fourth Proportional to 304,345.80, 420,131.73 and 181,881.40

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Solution

The fourth proportional to 304,345.80, 420,131.73 and 181,881.40 is: 251,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,345.80 : 420,131.73 = 181,881.40 : x
  2. Step 2: Convert to fraction form
    304,345.80/420,131.73 = 181,881.40/x
  3. Step 3: Cross multiply
    304,345.80x = 420,131.73 × 181,881.40
  4. Step 4: Simplify right side
    304,345.80x = 76,414,147,236.82
  5. Step 5: Solve for x
    x = 76,414,147,236.82/304,345.80
  6. Step 6: Final answer
    x = 251,076.73

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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.