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Finding the Fourth Proportional to 383,528.61, 529,270.07 and 213,759.09

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Solution

The fourth proportional to 383,528.61, 529,270.07 and 213,759.09 is: 294,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,528.61 : 529,270.07 = 213,759.09 : x
  2. Step 2: Convert to fraction form
    383,528.61/529,270.07 = 213,759.09/x
  3. Step 3: Cross multiply
    383,528.61x = 529,270.07 × 213,759.09
  4. Step 4: Simplify right side
    383,528.61x = 113,136,287,458.64
  5. Step 5: Solve for x
    x = 113,136,287,458.64/383,528.61
  6. Step 6: Final answer
    x = 294,987.87

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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.