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Finding the Fourth Proportional to 324,081.60, 485,344.80 and 157,675.20

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Solution

The fourth proportional to 324,081.60, 485,344.80 and 157,675.20 is: 236,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,081.60 : 485,344.80 = 157,675.20 : x
  2. Step 2: Convert to fraction form
    324,081.60/485,344.80 = 157,675.20/x
  3. Step 3: Cross multiply
    324,081.60x = 485,344.80 × 157,675.20
  4. Step 4: Simplify right side
    324,081.60x = 76,526,838,408.96
  5. Step 5: Solve for x
    x = 76,526,838,408.96/324,081.60
  6. Step 6: Final answer
    x = 236,134.47

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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.