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Finding the Fourth Proportional to 419,771.72, 579,298.47 and 238,480.34

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Solution

The fourth proportional to 419,771.72, 579,298.47 and 238,480.34 is: 329,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771.72 : 579,298.47 = 238,480.34 : x
  2. Step 2: Convert to fraction form
    419,771.72/579,298.47 = 238,480.34/x
  3. Step 3: Cross multiply
    419,771.72x = 579,298.47 × 238,480.34
  4. Step 4: Simplify right side
    419,771.72x = 138,151,296,087.08
  5. Step 5: Solve for x
    x = 138,151,296,087.08/419,771.72
  6. Step 6: Final answer
    x = 329,110.54

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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.