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Finding the Fourth Proportional to 415,468.20, 622,280.70 and 166,021.80

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Solution

The fourth proportional to 415,468.20, 622,280.70 and 166,021.80 is: 248,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,468.20 : 622,280.70 = 166,021.80 : x
  2. Step 2: Convert to fraction form
    415,468.20/622,280.70 = 166,021.80/x
  3. Step 3: Cross multiply
    415,468.20x = 622,280.70 × 166,021.80
  4. Step 4: Simplify right side
    415,468.20x = 103,312,161,919.26
  5. Step 5: Solve for x
    x = 103,312,161,919.26/415,468.20
  6. Step 6: Final answer
    x = 248,664.43

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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.