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Finding the Fourth Proportional to 214,630.80, 322,262.12 and 120,046.28

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Solution

The fourth proportional to 214,630.80, 322,262.12 and 120,046.28 is: 180,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,630.80 : 322,262.12 = 120,046.28 : x
  2. Step 2: Convert to fraction form
    214,630.80/322,262.12 = 120,046.28/x
  3. Step 3: Cross multiply
    214,630.80x = 322,262.12 × 120,046.28
  4. Step 4: Simplify right side
    214,630.80x = 38,686,368,690.91
  5. Step 5: Solve for x
    x = 38,686,368,690.91/214,630.80
  6. Step 6: Final answer
    x = 180,246.12

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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.