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Finding the Fourth Proportional to 304,039.80, 456,189.30 and 191,806.20

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Solution

The fourth proportional to 304,039.80, 456,189.30 and 191,806.20 is: 287,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,039.80 : 456,189.30 = 191,806.20 : x
  2. Step 2: Convert to fraction form
    304,039.80/456,189.30 = 191,806.20/x
  3. Step 3: Cross multiply
    304,039.80x = 456,189.30 × 191,806.20
  4. Step 4: Simplify right side
    304,039.80x = 87,499,936,113.66
  5. Step 5: Solve for x
    x = 87,499,936,113.66/304,039.80
  6. Step 6: Final answer
    x = 287,791.06

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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.