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Finding the Fourth Proportional to 322,814.82, 484,218.30 and 145,196.40

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Solution

The fourth proportional to 322,814.82, 484,218.30 and 145,196.40 is: 217,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,814.82 : 484,218.30 = 145,196.40 : x
  2. Step 2: Convert to fraction form
    322,814.82/484,218.30 = 145,196.40/x
  3. Step 3: Cross multiply
    322,814.82x = 484,218.30 × 145,196.40
  4. Step 4: Simplify right side
    322,814.82x = 70,306,753,974.12
  5. Step 5: Solve for x
    x = 70,306,753,974.12/322,814.82
  6. Step 6: Final answer
    x = 217,792.83

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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.