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Finding the Fourth Proportional to 385,196.46, 577,321.44 and 216,361.86

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Solution

The fourth proportional to 385,196.46, 577,321.44 and 216,361.86 is: 324,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,196.46 : 577,321.44 = 216,361.86 : x
  2. Step 2: Convert to fraction form
    385,196.46/577,321.44 = 216,361.86/x
  3. Step 3: Cross multiply
    385,196.46x = 577,321.44 × 216,361.86
  4. Step 4: Simplify right side
    385,196.46x = 124,910,340,576.28
  5. Step 5: Solve for x
    x = 124,910,340,576.28/385,196.46
  6. Step 6: Final answer
    x = 324,276.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.