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Finding the Fourth Proportional to 383,677.82, 529,482 and 211,615.54

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Solution

The fourth proportional to 383,677.82, 529,482 and 211,615.54 is: 292,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,677.82 : 529,482 = 211,615.54 : x
  2. Step 2: Convert to fraction form
    383,677.82/529,482 = 211,615.54/x
  3. Step 3: Cross multiply
    383,677.82x = 529,482 × 211,615.54
  4. Step 4: Simplify right side
    383,677.82x = 112,046,619,350.28
  5. Step 5: Solve for x
    x = 112,046,619,350.28/383,677.82
  6. Step 6: Final answer
    x = 292,033.09

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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.