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Finding the Fourth Proportional to 383,709.84, 529,523.10 and 211,634.52

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Solution

The fourth proportional to 383,709.84, 529,523.10 and 211,634.52 is: 292,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,709.84 : 529,523.10 = 211,634.52 : x
  2. Step 2: Convert to fraction form
    383,709.84/529,523.10 = 211,634.52/x
  3. Step 3: Cross multiply
    383,709.84x = 529,523.10 × 211,634.52
  4. Step 4: Simplify right side
    383,709.84x = 112,065,367,097.41
  5. Step 5: Solve for x
    x = 112,065,367,097.41/383,709.84
  6. Step 6: Final answer
    x = 292,057.58

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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.