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Finding the Fourth Proportional to 382,491.54, 527,830.83 and 212,722.02

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Solution

The fourth proportional to 382,491.54, 527,830.83 and 212,722.02 is: 293,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,491.54 : 527,830.83 = 212,722.02 : x
  2. Step 2: Convert to fraction form
    382,491.54/527,830.83 = 212,722.02/x
  3. Step 3: Cross multiply
    382,491.54x = 527,830.83 × 212,722.02
  4. Step 4: Simplify right side
    382,491.54x = 112,281,240,375.88
  5. Step 5: Solve for x
    x = 112,281,240,375.88/382,491.54
  6. Step 6: Final answer
    x = 293,552.22

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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.