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Finding the Fourth Proportional to 415,217.20, 622,825.80 and 340,421.80

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Solution

The fourth proportional to 415,217.20, 622,825.80 and 340,421.80 is: 510,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,217.20 : 622,825.80 = 340,421.80 : x
  2. Step 2: Convert to fraction form
    415,217.20/622,825.80 = 340,421.80/x
  3. Step 3: Cross multiply
    415,217.20x = 622,825.80 × 340,421.80
  4. Step 4: Simplify right side
    415,217.20x = 212,023,479,922.44
  5. Step 5: Solve for x
    x = 212,023,479,922.44/415,217.20
  6. Step 6: Final answer
    x = 510,632.70

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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.