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Finding the Fourth Proportional to 419,767.66, 579,291.51 and 228,793.42

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Solution

The fourth proportional to 419,767.66, 579,291.51 and 228,793.42 is: 315,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,767.66 : 579,291.51 = 228,793.42 : x
  2. Step 2: Convert to fraction form
    419,767.66/579,291.51 = 228,793.42/x
  3. Step 3: Cross multiply
    419,767.66x = 579,291.51 × 228,793.42
  4. Step 4: Simplify right side
    419,767.66x = 132,538,085,749.86
  5. Step 5: Solve for x
    x = 132,538,085,749.86/419,767.66
  6. Step 6: Final answer
    x = 315,741.54

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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.