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Finding the Fourth Proportional to 278,646.96, 384,650.52 and 188,125.53

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Solution

The fourth proportional to 278,646.96, 384,650.52 and 188,125.53 is: 259,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,646.96 : 384,650.52 = 188,125.53 : x
  2. Step 2: Convert to fraction form
    278,646.96/384,650.52 = 188,125.53/x
  3. Step 3: Cross multiply
    278,646.96x = 384,650.52 × 188,125.53
  4. Step 4: Simplify right side
    278,646.96x = 72,362,582,939.78
  5. Step 5: Solve for x
    x = 72,362,582,939.78/278,646.96
  6. Step 6: Final answer
    x = 259,692.71

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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.