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Finding the Fourth Proportional to 422,524.19, 633,343.40 and 156,114.78

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Solution

The fourth proportional to 422,524.19, 633,343.40 and 156,114.78 is: 234,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,524.19 : 633,343.40 = 156,114.78 : x
  2. Step 2: Convert to fraction form
    422,524.19/633,343.40 = 156,114.78/x
  3. Step 3: Cross multiply
    422,524.19x = 633,343.40 × 156,114.78
  4. Step 4: Simplify right side
    422,524.19x = 98,874,265,555.45
  5. Step 5: Solve for x
    x = 98,874,265,555.45/422,524.19
  6. Step 6: Final answer
    x = 234,008.53

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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.