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Finding the Fourth Proportional to 298,212.60, 447,027.30 and 266,719.80

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Solution

The fourth proportional to 298,212.60, 447,027.30 and 266,719.80 is: 399,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,212.60 : 447,027.30 = 266,719.80 : x
  2. Step 2: Convert to fraction form
    298,212.60/447,027.30 = 266,719.80/x
  3. Step 3: Cross multiply
    298,212.60x = 447,027.30 × 266,719.80
  4. Step 4: Simplify right side
    298,212.60x = 119,231,032,050.54
  5. Step 5: Solve for x
    x = 119,231,032,050.54/298,212.60
  6. Step 6: Final answer
    x = 399,818.89

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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.