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Finding the Fourth Proportional to 407,972.44, 611,958.54 and 127,489.72

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Solution

The fourth proportional to 407,972.44, 611,958.54 and 127,489.72 is: 191,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,972.44 : 611,958.54 = 127,489.72 : x
  2. Step 2: Convert to fraction form
    407,972.44/611,958.54 = 127,489.72/x
  3. Step 3: Cross multiply
    407,972.44x = 611,958.54 × 127,489.72
  4. Step 4: Simplify right side
    407,972.44x = 78,018,422,916.21
  5. Step 5: Solve for x
    x = 78,018,422,916.21/407,972.44
  6. Step 6: Final answer
    x = 191,234.54

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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.