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Finding the Fourth Proportional to 485,137.56, 727,837.62 and 274,923.12

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Solution

The fourth proportional to 485,137.56, 727,837.62 and 274,923.12 is: 412,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,137.56 : 727,837.62 = 274,923.12 : x
  2. Step 2: Convert to fraction form
    485,137.56/727,837.62 = 274,923.12/x
  3. Step 3: Cross multiply
    485,137.56x = 727,837.62 × 274,923.12
  4. Step 4: Simplify right side
    485,137.56x = 200,099,389,343.77
  5. Step 5: Solve for x
    x = 200,099,389,343.77/485,137.56
  6. Step 6: Final answer
    x = 412,459.08

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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.