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Finding the Fourth Proportional to 215,830.60, 323,745.90 and 214,448.20

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Solution

The fourth proportional to 215,830.60, 323,745.90 and 214,448.20 is: 321,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,830.60 : 323,745.90 = 214,448.20 : x
  2. Step 2: Convert to fraction form
    215,830.60/323,745.90 = 214,448.20/x
  3. Step 3: Cross multiply
    215,830.60x = 323,745.90 × 214,448.20
  4. Step 4: Simplify right side
    215,830.60x = 69,426,725,512.38
  5. Step 5: Solve for x
    x = 69,426,725,512.38/215,830.60
  6. Step 6: Final answer
    x = 321,672.30

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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.