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Finding the Fourth Proportional to 419,481.12, 578,889 and 228,496.08

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Solution

The fourth proportional to 419,481.12, 578,889 and 228,496.08 is: 315,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,481.12 : 578,889 = 228,496.08 : x
  2. Step 2: Convert to fraction form
    419,481.12/578,889 = 228,496.08/x
  3. Step 3: Cross multiply
    419,481.12x = 578,889 × 228,496.08
  4. Step 4: Simplify right side
    419,481.12x = 132,273,867,255.12
  5. Step 5: Solve for x
    x = 132,273,867,255.12/419,481.12
  6. Step 6: Final answer
    x = 315,327.34

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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.