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Finding the Fourth Proportional to 386,221.92, 579,333.24 and 219,660

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Solution

The fourth proportional to 386,221.92, 579,333.24 and 219,660 is: 329,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,221.92 : 579,333.24 = 219,660 : x
  2. Step 2: Convert to fraction form
    386,221.92/579,333.24 = 219,660/x
  3. Step 3: Cross multiply
    386,221.92x = 579,333.24 × 219,660
  4. Step 4: Simplify right side
    386,221.92x = 127,256,339,498.40
  5. Step 5: Solve for x
    x = 127,256,339,498.40/386,221.92
  6. Step 6: Final answer
    x = 329,490.20

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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.