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Finding the Fourth Proportional to 219,405.64, 329,108.46 and 77,217.43

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Solution

The fourth proportional to 219,405.64, 329,108.46 and 77,217.43 is: 115,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,405.64 : 329,108.46 = 77,217.43 : x
  2. Step 2: Convert to fraction form
    219,405.64/329,108.46 = 77,217.43/x
  3. Step 3: Cross multiply
    219,405.64x = 329,108.46 × 77,217.43
  4. Step 4: Simplify right side
    219,405.64x = 25,412,909,472.46
  5. Step 5: Solve for x
    x = 25,412,909,472.46/219,405.64
  6. Step 6: Final answer
    x = 115,826.15

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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.