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Finding the Fourth Proportional to 419,890.36, 579,274.24 and 247,740

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Solution

The fourth proportional to 419,890.36, 579,274.24 and 247,740 is: 341,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,890.36 : 579,274.24 = 247,740 : x
  2. Step 2: Convert to fraction form
    419,890.36/579,274.24 = 247,740/x
  3. Step 3: Cross multiply
    419,890.36x = 579,274.24 × 247,740
  4. Step 4: Simplify right side
    419,890.36x = 143,509,400,217.60
  5. Step 5: Solve for x
    x = 143,509,400,217.60/419,890.36
  6. Step 6: Final answer
    x = 341,778.27

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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.