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Finding the Fourth Proportional to 462,403.40, 693,144.30 and 212,649.80

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Solution

The fourth proportional to 462,403.40, 693,144.30 and 212,649.80 is: 318,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,403.40 : 693,144.30 = 212,649.80 : x
  2. Step 2: Convert to fraction form
    462,403.40/693,144.30 = 212,649.80/x
  3. Step 3: Cross multiply
    462,403.40x = 693,144.30 × 212,649.80
  4. Step 4: Simplify right side
    462,403.40x = 147,396,996,766.14
  5. Step 5: Solve for x
    x = 147,396,996,766.14/462,403.40
  6. Step 6: Final answer
    x = 318,762.79

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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.