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Finding the Fourth Proportional to 415,216.20, 622,824.30 and 340,420.80

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Solution

The fourth proportional to 415,216.20, 622,824.30 and 340,420.80 is: 510,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.20 : 622,824.30 = 340,420.80 : x
  2. Step 2: Convert to fraction form
    415,216.20/622,824.30 = 340,420.80/x
  3. Step 3: Cross multiply
    415,216.20x = 622,824.30 × 340,420.80
  4. Step 4: Simplify right side
    415,216.20x = 212,022,346,465.44
  5. Step 5: Solve for x
    x = 212,022,346,465.44/415,216.20
  6. Step 6: Final answer
    x = 510,631.20

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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.