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Finding the Fourth Proportional to 384,857.80, 576,411.90 and 197,650.60

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Solution

The fourth proportional to 384,857.80, 576,411.90 and 197,650.60 is: 296,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,857.80 : 576,411.90 = 197,650.60 : x
  2. Step 2: Convert to fraction form
    384,857.80/576,411.90 = 197,650.60/x
  3. Step 3: Cross multiply
    384,857.80x = 576,411.90 × 197,650.60
  4. Step 4: Simplify right side
    384,857.80x = 113,928,157,882.14
  5. Step 5: Solve for x
    x = 113,928,157,882.14/384,857.80
  6. Step 6: Final answer
    x = 296,026.63

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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.