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Finding the Fourth Proportional to 321,876.10, 482,814.15 and 202,903.30

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Solution

The fourth proportional to 321,876.10, 482,814.15 and 202,903.30 is: 304,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,876.10 : 482,814.15 = 202,903.30 : x
  2. Step 2: Convert to fraction form
    321,876.10/482,814.15 = 202,903.30/x
  3. Step 3: Cross multiply
    321,876.10x = 482,814.15 × 202,903.30
  4. Step 4: Simplify right side
    321,876.10x = 97,964,584,321.70
  5. Step 5: Solve for x
    x = 97,964,584,321.70/321,876.10
  6. Step 6: Final answer
    x = 304,354.95

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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.