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Finding the Fourth Proportional to 300,713.76, 451,070.47 and 120,799.17

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Solution

The fourth proportional to 300,713.76, 451,070.47 and 120,799.17 is: 181,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,713.76 : 451,070.47 = 120,799.17 : x
  2. Step 2: Convert to fraction form
    300,713.76/451,070.47 = 120,799.17/x
  3. Step 3: Cross multiply
    300,713.76x = 451,070.47 × 120,799.17
  4. Step 4: Simplify right side
    300,713.76x = 54,488,938,387.51
  5. Step 5: Solve for x
    x = 54,488,938,387.51/300,713.76
  6. Step 6: Final answer
    x = 181,198.69

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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.