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Finding the Fourth Proportional to 290,908.51, 401,451.11 and 163,585.01

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Solution

The fourth proportional to 290,908.51, 401,451.11 and 163,585.01 is: 225,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,908.51 : 401,451.11 = 163,585.01 : x
  2. Step 2: Convert to fraction form
    290,908.51/401,451.11 = 163,585.01/x
  3. Step 3: Cross multiply
    290,908.51x = 401,451.11 × 163,585.01
  4. Step 4: Simplify right side
    290,908.51x = 65,671,383,843.86
  5. Step 5: Solve for x
    x = 65,671,383,843.86/290,908.51
  6. Step 6: Final answer
    x = 225,745.83

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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.