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Finding the Fourth Proportional to 415,334.20, 622,770.90 and 165,734.20

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Solution

The fourth proportional to 415,334.20, 622,770.90 and 165,734.20 is: 248,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,334.20 : 622,770.90 = 165,734.20 : x
  2. Step 2: Convert to fraction form
    415,334.20/622,770.90 = 165,734.20/x
  3. Step 3: Cross multiply
    415,334.20x = 622,770.90 × 165,734.20
  4. Step 4: Simplify right side
    415,334.20x = 103,214,436,894.78
  5. Step 5: Solve for x
    x = 103,214,436,894.78/415,334.20
  6. Step 6: Final answer
    x = 248,509.36

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1.5x scale

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.