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Finding the Fourth Proportional to 416,245.50, 574,420.20 and 225,258.84

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Solution

The fourth proportional to 416,245.50, 574,420.20 and 225,258.84 is: 310,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.50 : 574,420.20 = 225,258.84 : x
  2. Step 2: Convert to fraction form
    416,245.50/574,420.20 = 225,258.84/x
  3. Step 3: Cross multiply
    416,245.50x = 574,420.20 × 225,258.84
  4. Step 4: Simplify right side
    416,245.50x = 129,393,227,924.57
  5. Step 5: Solve for x
    x = 129,393,227,924.57/416,245.50
  6. Step 6: Final answer
    x = 310,857.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.