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Finding the Fourth Proportional to 325,473.60, 488,288.34 and 135,828.48

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Solution

The fourth proportional to 325,473.60, 488,288.34 and 135,828.48 is: 203,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,473.60 : 488,288.34 = 135,828.48 : x
  2. Step 2: Convert to fraction form
    325,473.60/488,288.34 = 135,828.48/x
  3. Step 3: Cross multiply
    325,473.60x = 488,288.34 × 135,828.48
  4. Step 4: Simplify right side
    325,473.60x = 66,323,463,023.92
  5. Step 5: Solve for x
    x = 66,323,463,023.92/325,473.60
  6. Step 6: Final answer
    x = 203,775.25

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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.