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Finding the Fourth Proportional to 419,728.38, 579,224.16 and 228,741.27

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Solution

The fourth proportional to 419,728.38, 579,224.16 and 228,741.27 is: 315,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,728.38 : 579,224.16 = 228,741.27 : x
  2. Step 2: Convert to fraction form
    419,728.38/579,224.16 = 228,741.27/x
  3. Step 3: Cross multiply
    419,728.38x = 579,224.16 × 228,741.27
  4. Step 4: Simplify right side
    419,728.38x = 132,492,469,973.08
  5. Step 5: Solve for x
    x = 132,492,469,973.08/419,728.38
  6. Step 6: Final answer
    x = 315,662.41

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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.