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Finding the Fourth Proportional to 378,004.20, 566,641.80 and 217,915.80

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Solution

The fourth proportional to 378,004.20, 566,641.80 and 217,915.80 is: 326,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,004.20 : 566,641.80 = 217,915.80 : x
  2. Step 2: Convert to fraction form
    378,004.20/566,641.80 = 217,915.80/x
  3. Step 3: Cross multiply
    378,004.20x = 566,641.80 × 217,915.80
  4. Step 4: Simplify right side
    378,004.20x = 123,480,201,160.44
  5. Step 5: Solve for x
    x = 123,480,201,160.44/378,004.20
  6. Step 6: Final answer
    x = 326,663.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.