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Finding the Fourth Proportional to 415,355.20, 622,111.20 and 165,908.80

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Solution

The fourth proportional to 415,355.20, 622,111.20 and 165,908.80 is: 248,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,355.20 : 622,111.20 = 165,908.80 : x
  2. Step 2: Convert to fraction form
    415,355.20/622,111.20 = 165,908.80/x
  3. Step 3: Cross multiply
    415,355.20x = 622,111.20 × 165,908.80
  4. Step 4: Simplify right side
    415,355.20x = 103,213,722,658.56
  5. Step 5: Solve for x
    x = 103,213,722,658.56/415,355.20
  6. Step 6: Final answer
    x = 248,495.08

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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.