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Finding the Fourth Proportional to 278,174.07, 383,715.75 and 177,572.07

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Solution

The fourth proportional to 278,174.07, 383,715.75 and 177,572.07 is: 244,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,174.07 : 383,715.75 = 177,572.07 : x
  2. Step 2: Convert to fraction form
    278,174.07/383,715.75 = 177,572.07/x
  3. Step 3: Cross multiply
    278,174.07x = 383,715.75 × 177,572.07
  4. Step 4: Simplify right side
    278,174.07x = 68,137,200,019.10
  5. Step 5: Solve for x
    x = 68,137,200,019.10/278,174.07
  6. Step 6: Final answer
    x = 244,944.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.