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Finding the Fourth Proportional to 300,538.86, 451,029 and 242,080.36

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Solution

The fourth proportional to 300,538.86, 451,029 and 242,080.36 is: 363,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.86 : 451,029 = 242,080.36 : x
  2. Step 2: Convert to fraction form
    300,538.86/451,029 = 242,080.36/x
  3. Step 3: Cross multiply
    300,538.86x = 451,029 × 242,080.36
  4. Step 4: Simplify right side
    300,538.86x = 109,185,262,690.44
  5. Step 5: Solve for x
    x = 109,185,262,690.44/300,538.86
  6. Step 6: Final answer
    x = 363,298.32

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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.