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Finding the Fourth Proportional to 300,634.30, 450,951.32 and 120,719.66

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Solution

The fourth proportional to 300,634.30, 450,951.32 and 120,719.66 is: 181,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,634.30 : 450,951.32 = 120,719.66 : x
  2. Step 2: Convert to fraction form
    300,634.30/450,951.32 = 120,719.66/x
  3. Step 3: Cross multiply
    300,634.30x = 450,951.32 × 120,719.66
  4. Step 4: Simplify right side
    300,634.30x = 54,438,689,423.35
  5. Step 5: Solve for x
    x = 54,438,689,423.35/300,634.30
  6. Step 6: Final answer
    x = 181,079.44

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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.