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Finding the Fourth Proportional to 419,719.96, 579,212.67 and 228,732.90

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Solution

The fourth proportional to 419,719.96, 579,212.67 and 228,732.90 is: 315,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,719.96 : 579,212.67 = 228,732.90 : x
  2. Step 2: Convert to fraction form
    419,719.96/579,212.67 = 228,732.90/x
  3. Step 3: Cross multiply
    419,719.96x = 579,212.67 × 228,732.90
  4. Step 4: Simplify right side
    419,719.96x = 132,484,993,725.84
  5. Step 5: Solve for x
    x = 132,484,993,725.84/419,719.96
  6. Step 6: Final answer
    x = 315,650.93

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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.