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Finding the Fourth Proportional to 322,890.90, 484,020.14 and 120,338.70

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Solution

The fourth proportional to 322,890.90, 484,020.14 and 120,338.70 is: 180,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,890.90 : 484,020.14 = 120,338.70 : x
  2. Step 2: Convert to fraction form
    322,890.90/484,020.14 = 120,338.70/x
  3. Step 3: Cross multiply
    322,890.90x = 484,020.14 × 120,338.70
  4. Step 4: Simplify right side
    322,890.90x = 58,246,354,421.42
  5. Step 5: Solve for x
    x = 58,246,354,421.42/322,890.90
  6. Step 6: Final answer
    x = 180,390.20

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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.