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Finding the Fourth Proportional to 384,207.11, 530,203.31 and 212,135.77

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Solution

The fourth proportional to 384,207.11, 530,203.31 and 212,135.77 is: 292,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207.11 : 530,203.31 = 212,135.77 : x
  2. Step 2: Convert to fraction form
    384,207.11/530,203.31 = 212,135.77/x
  3. Step 3: Cross multiply
    384,207.11x = 530,203.31 × 212,135.77
  4. Step 4: Simplify right side
    384,207.11x = 112,475,085,037.21
  5. Step 5: Solve for x
    x = 112,475,085,037.21/384,207.11
  6. Step 6: Final answer
    x = 292,745.98

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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.