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Finding the Fourth Proportional to 312,821.20, 469,231.80 and 212,437.90

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Solution

The fourth proportional to 312,821.20, 469,231.80 and 212,437.90 is: 318,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,821.20 : 469,231.80 = 212,437.90 : x
  2. Step 2: Convert to fraction form
    312,821.20/469,231.80 = 212,437.90/x
  3. Step 3: Cross multiply
    312,821.20x = 469,231.80 × 212,437.90
  4. Step 4: Simplify right side
    312,821.20x = 99,682,618,205.22
  5. Step 5: Solve for x
    x = 99,682,618,205.22/312,821.20
  6. Step 6: Final answer
    x = 318,656.85

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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.