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Finding the Fourth Proportional to 243,309.14, 364,998.61 and 74,843.68

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Solution

The fourth proportional to 243,309.14, 364,998.61 and 74,843.68 is: 112,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309.14 : 364,998.61 = 74,843.68 : x
  2. Step 2: Convert to fraction form
    243,309.14/364,998.61 = 74,843.68/x
  3. Step 3: Cross multiply
    243,309.14x = 364,998.61 × 74,843.68
  4. Step 4: Simplify right side
    243,309.14x = 27,317,839,167.28
  5. Step 5: Solve for x
    x = 27,317,839,167.28/243,309.14
  6. Step 6: Final answer
    x = 112,276.26

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1.5x scale

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.