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Finding the Fourth Proportional to 325,164.32, 487,834.14 and 135,561.68

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Solution

The fourth proportional to 325,164.32, 487,834.14 and 135,561.68 is: 203,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,164.32 : 487,834.14 = 135,561.68 : x
  2. Step 2: Convert to fraction form
    325,164.32/487,834.14 = 135,561.68/x
  3. Step 3: Cross multiply
    325,164.32x = 487,834.14 × 135,561.68
  4. Step 4: Simplify right side
    325,164.32x = 66,131,615,579.76
  5. Step 5: Solve for x
    x = 66,131,615,579.76/325,164.32
  6. Step 6: Final answer
    x = 203,379.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.