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Finding the Fourth Proportional to 415,462.20, 622,271.70 and 166,015.80

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Solution

The fourth proportional to 415,462.20, 622,271.70 and 166,015.80 is: 248,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,462.20 : 622,271.70 = 166,015.80 : x
  2. Step 2: Convert to fraction form
    415,462.20/622,271.70 = 166,015.80/x
  3. Step 3: Cross multiply
    415,462.20x = 622,271.70 × 166,015.80
  4. Step 4: Simplify right side
    415,462.20x = 103,306,934,092.86
  5. Step 5: Solve for x
    x = 103,306,934,092.86/415,462.20
  6. Step 6: Final answer
    x = 248,655.44

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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.