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Finding the Fourth Proportional to 382,483.59, 527,845.21 and 221,307.47

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Solution

The fourth proportional to 382,483.59, 527,845.21 and 221,307.47 is: 305,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,483.59 : 527,845.21 = 221,307.47 : x
  2. Step 2: Convert to fraction form
    382,483.59/527,845.21 = 221,307.47/x
  3. Step 3: Cross multiply
    382,483.59x = 527,845.21 × 221,307.47
  4. Step 4: Simplify right side
    382,483.59x = 116,816,085,279.08
  5. Step 5: Solve for x
    x = 116,816,085,279.08/382,483.59
  6. Step 6: Final answer
    x = 305,414.63

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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.