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Finding the Fourth Proportional to 290,826.88, 401,340.64 and 163,502.72

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Solution

The fourth proportional to 290,826.88, 401,340.64 and 163,502.72 is: 225,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826.88 : 401,340.64 = 163,502.72 : x
  2. Step 2: Convert to fraction form
    290,826.88/401,340.64 = 163,502.72/x
  3. Step 3: Cross multiply
    290,826.88x = 401,340.64 × 163,502.72
  4. Step 4: Simplify right side
    290,826.88x = 65,620,286,286.54
  5. Step 5: Solve for x
    x = 65,620,286,286.54/290,826.88
  6. Step 6: Final answer
    x = 225,633.50

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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.