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Finding the Fourth Proportional to 498,958.38, 748,970.55 and 214,789.73

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Solution

The fourth proportional to 498,958.38, 748,970.55 and 214,789.73 is: 322,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,958.38 : 748,970.55 = 214,789.73 : x
  2. Step 2: Convert to fraction form
    498,958.38/748,970.55 = 214,789.73/x
  3. Step 3: Cross multiply
    498,958.38x = 748,970.55 × 214,789.73
  4. Step 4: Simplify right side
    498,958.38x = 160,871,178,467.60
  5. Step 5: Solve for x
    x = 160,871,178,467.60/498,958.38
  6. Step 6: Final answer
    x = 322,414.02

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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.