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Finding the Fourth Proportional to 331,052.50, 496,580.37 and 81,734.50

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Solution

The fourth proportional to 331,052.50, 496,580.37 and 81,734.50 is: 122,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,052.50 : 496,580.37 = 81,734.50 : x
  2. Step 2: Convert to fraction form
    331,052.50/496,580.37 = 81,734.50/x
  3. Step 3: Cross multiply
    331,052.50x = 496,580.37 × 81,734.50
  4. Step 4: Simplify right side
    331,052.50x = 40,587,748,251.77
  5. Step 5: Solve for x
    x = 40,587,748,251.77/331,052.50
  6. Step 6: Final answer
    x = 122,602.15

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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.