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Finding the Fourth Proportional to 384,384, 576,578.05 and 252,101.94

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Solution

The fourth proportional to 384,384, 576,578.05 and 252,101.94 is: 378,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,384 : 576,578.05 = 252,101.94 : x
  2. Step 2: Convert to fraction form
    384,384/576,578.05 = 252,101.94/x
  3. Step 3: Cross multiply
    384,384x = 576,578.05 × 252,101.94
  4. Step 4: Simplify right side
    384,384x = 145,356,442,083.53
  5. Step 5: Solve for x
    x = 145,356,442,083.53/384,384
  6. Step 6: Final answer
    x = 378,154.25

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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.