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Finding the Fourth Proportional to 321,884.10, 482,826.15 and 202,911.30

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Solution

The fourth proportional to 321,884.10, 482,826.15 and 202,911.30 is: 304,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,884.10 : 482,826.15 = 202,911.30 : x
  2. Step 2: Convert to fraction form
    321,884.10/482,826.15 = 202,911.30/x
  3. Step 3: Cross multiply
    321,884.10x = 482,826.15 × 202,911.30
  4. Step 4: Simplify right side
    321,884.10x = 97,970,881,770.50
  5. Step 5: Solve for x
    x = 97,970,881,770.50/321,884.10
  6. Step 6: Final answer
    x = 304,366.95

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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.