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Finding the Fourth Proportional to 328,814.56, 493,105.12 and 118,396

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Solution

The fourth proportional to 328,814.56, 493,105.12 and 118,396 is: 177,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814.56 : 493,105.12 = 118,396 : x
  2. Step 2: Convert to fraction form
    328,814.56/493,105.12 = 118,396/x
  3. Step 3: Cross multiply
    328,814.56x = 493,105.12 × 118,396
  4. Step 4: Simplify right side
    328,814.56x = 58,381,673,787.52
  5. Step 5: Solve for x
    x = 58,381,673,787.52/328,814.56
  6. Step 6: Final answer
    x = 177,551.97

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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.