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Finding the Fourth Proportional to 298,720.64, 447,027.96 and 186,453.56

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Solution

The fourth proportional to 298,720.64, 447,027.96 and 186,453.56 is: 279,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,720.64 : 447,027.96 = 186,453.56 : x
  2. Step 2: Convert to fraction form
    298,720.64/447,027.96 = 186,453.56/x
  3. Step 3: Cross multiply
    298,720.64x = 447,027.96 × 186,453.56
  4. Step 4: Simplify right side
    298,720.64x = 83,349,954,561.54
  5. Step 5: Solve for x
    x = 83,349,954,561.54/298,720.64
  6. Step 6: Final answer
    x = 279,023.09

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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.