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Finding the Fourth Proportional to 409,085.45, 613,201.62 and 228,906.72

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Solution

The fourth proportional to 409,085.45, 613,201.62 and 228,906.72 is: 343,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,085.45 : 613,201.62 = 228,906.72 : x
  2. Step 2: Convert to fraction form
    409,085.45/613,201.62 = 228,906.72/x
  3. Step 3: Cross multiply
    409,085.45x = 613,201.62 × 228,906.72
  4. Step 4: Simplify right side
    409,085.45x = 140,365,971,322.20
  5. Step 5: Solve for x
    x = 140,365,971,322.20/409,085.45
  6. Step 6: Final answer
    x = 343,121.40

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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.