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Finding the Fourth Proportional to 418,896.64, 578,091.77 and 227,917.27

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Solution

The fourth proportional to 418,896.64, 578,091.77 and 227,917.27 is: 314,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,896.64 : 578,091.77 = 227,917.27 : x
  2. Step 2: Convert to fraction form
    418,896.64/578,091.77 = 227,917.27/x
  3. Step 3: Cross multiply
    418,896.64x = 578,091.77 × 227,917.27
  4. Step 4: Simplify right side
    418,896.64x = 131,757,098,027.87
  5. Step 5: Solve for x
    x = 131,757,098,027.87/418,896.64
  6. Step 6: Final answer
    x = 314,533.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.