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Finding the Fourth Proportional to 415,401.20, 622,871.40 and 165,801.20

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Solution

The fourth proportional to 415,401.20, 622,871.40 and 165,801.20 is: 248,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,401.20 : 622,871.40 = 165,801.20 : x
  2. Step 2: Convert to fraction form
    415,401.20/622,871.40 = 165,801.20/x
  3. Step 3: Cross multiply
    415,401.20x = 622,871.40 × 165,801.20
  4. Step 4: Simplify right side
    415,401.20x = 103,272,825,565.68
  5. Step 5: Solve for x
    x = 103,272,825,565.68/415,401.20
  6. Step 6: Final answer
    x = 248,609.84

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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.