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Finding the Fourth Proportional to 417,989.28, 576,826.32 and 227,005.92

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Solution

The fourth proportional to 417,989.28, 576,826.32 and 227,005.92 is: 313,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,989.28 : 576,826.32 = 227,005.92 : x
  2. Step 2: Convert to fraction form
    417,989.28/576,826.32 = 227,005.92/x
  3. Step 3: Cross multiply
    417,989.28x = 576,826.32 × 227,005.92
  4. Step 4: Simplify right side
    417,989.28x = 130,942,989,451.81
  5. Step 5: Solve for x
    x = 130,942,989,451.81/417,989.28
  6. Step 6: Final answer
    x = 313,268.77

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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.