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Finding the Fourth Proportional to 394,964, 545,050.68 and 216,116

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Solution

The fourth proportional to 394,964, 545,050.68 and 216,116 is: 298,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,964 : 545,050.68 = 216,116 : x
  2. Step 2: Convert to fraction form
    394,964/545,050.68 = 216,116/x
  3. Step 3: Cross multiply
    394,964x = 545,050.68 × 216,116
  4. Step 4: Simplify right side
    394,964x = 117,794,172,758.88
  5. Step 5: Solve for x
    x = 117,794,172,758.88/394,964
  6. Step 6: Final answer
    x = 298,240.28

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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.