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Finding the Fourth Proportional to 269,206.20, 403,355.70 and 212,830.20

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Solution

The fourth proportional to 269,206.20, 403,355.70 and 212,830.20 is: 318,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,206.20 : 403,355.70 = 212,830.20 : x
  2. Step 2: Convert to fraction form
    269,206.20/403,355.70 = 212,830.20/x
  3. Step 3: Cross multiply
    269,206.20x = 403,355.70 × 212,830.20
  4. Step 4: Simplify right side
    269,206.20x = 85,846,274,302.14
  5. Step 5: Solve for x
    x = 85,846,274,302.14/269,206.20
  6. Step 6: Final answer
    x = 318,886.69

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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.