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Finding the Fourth Proportional to 382,404.43, 527,784.17 and 221,348.28

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Solution

The fourth proportional to 382,404.43, 527,784.17 and 221,348.28 is: 305,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,404.43 : 527,784.17 = 221,348.28 : x
  2. Step 2: Convert to fraction form
    382,404.43/527,784.17 = 221,348.28/x
  3. Step 3: Cross multiply
    382,404.43x = 527,784.17 × 221,348.28
  4. Step 4: Simplify right side
    382,404.43x = 116,824,117,133.99
  5. Step 5: Solve for x
    x = 116,824,117,133.99/382,404.43
  6. Step 6: Final answer
    x = 305,498.86

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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.