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Finding the Fourth Proportional to 290,584.56, 401,005.16 and 163,259.04

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Solution

The fourth proportional to 290,584.56, 401,005.16 and 163,259.04 is: 225,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,584.56 : 401,005.16 = 163,259.04 : x
  2. Step 2: Convert to fraction form
    290,584.56/401,005.16 = 163,259.04/x
  3. Step 3: Cross multiply
    290,584.56x = 401,005.16 × 163,259.04
  4. Step 4: Simplify right side
    290,584.56x = 65,467,717,456.65
  5. Step 5: Solve for x
    x = 65,467,717,456.65/290,584.56
  6. Step 6: Final answer
    x = 225,296.61

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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.