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Finding the Fourth Proportional to 462,405.40, 693,147.30 and 212,651.80

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Solution

The fourth proportional to 462,405.40, 693,147.30 and 212,651.80 is: 318,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,405.40 : 693,147.30 = 212,651.80 : x
  2. Step 2: Convert to fraction form
    462,405.40/693,147.30 = 212,651.80/x
  3. Step 3: Cross multiply
    462,405.40x = 693,147.30 × 212,651.80
  4. Step 4: Simplify right side
    462,405.40x = 147,399,021,010.14
  5. Step 5: Solve for x
    x = 147,399,021,010.14/462,405.40
  6. Step 6: Final answer
    x = 318,765.79

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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.