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Finding the Fourth Proportional to 278,543.82, 384,193.72 and 171,174.26

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Solution

The fourth proportional to 278,543.82, 384,193.72 and 171,174.26 is: 236,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,543.82 : 384,193.72 = 171,174.26 : x
  2. Step 2: Convert to fraction form
    278,543.82/384,193.72 = 171,174.26/x
  3. Step 3: Cross multiply
    278,543.82x = 384,193.72 × 171,174.26
  4. Step 4: Simplify right side
    278,543.82x = 65,764,075,717.65
  5. Step 5: Solve for x
    x = 65,764,075,717.65/278,543.82
  6. Step 6: Final answer
    x = 236,099.57

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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.