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Finding the Fourth Proportional to 613,638.38, 920,435.70 and 214,277.60

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Solution

The fourth proportional to 613,638.38, 920,435.70 and 214,277.60 is: 321,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,638.38 : 920,435.70 = 214,277.60 : x
  2. Step 2: Convert to fraction form
    613,638.38/920,435.70 = 214,277.60/x
  3. Step 3: Cross multiply
    613,638.38x = 920,435.70 × 214,277.60
  4. Step 4: Simplify right side
    613,638.38x = 197,228,752,750.32
  5. Step 5: Solve for x
    x = 197,228,752,750.32/613,638.38
  6. Step 6: Final answer
    x = 321,408.76

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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.