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Finding the Fourth Proportional to 384,338.31, 530,387.77 and 212,253.14

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Solution

The fourth proportional to 384,338.31, 530,387.77 and 212,253.14 is: 292,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,338.31 : 530,387.77 = 212,253.14 : x
  2. Step 2: Convert to fraction form
    384,338.31/530,387.77 = 212,253.14/x
  3. Step 3: Cross multiply
    384,338.31x = 530,387.77 × 212,253.14
  4. Step 4: Simplify right side
    384,338.31x = 112,576,469,600.10
  5. Step 5: Solve for x
    x = 112,576,469,600.10/384,338.31
  6. Step 6: Final answer
    x = 292,909.83

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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.