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Finding the Fourth Proportional to 219,604.83, 329,486.27 and 86,411.31

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Solution

The fourth proportional to 219,604.83, 329,486.27 and 86,411.31 is: 129,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,604.83 : 329,486.27 = 86,411.31 : x
  2. Step 2: Convert to fraction form
    219,604.83/329,486.27 = 86,411.31/x
  3. Step 3: Cross multiply
    219,604.83x = 329,486.27 × 86,411.31
  4. Step 4: Simplify right side
    219,604.83x = 28,471,339,785.66
  5. Step 5: Solve for x
    x = 28,471,339,785.66/219,604.83
  6. Step 6: Final answer
    x = 129,648.06

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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.