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Finding the Fourth Proportional to 278,650.40, 384,655.28 and 188,129

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Solution

The fourth proportional to 278,650.40, 384,655.28 and 188,129 is: 259,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,650.40 : 384,655.28 = 188,129 : x
  2. Step 2: Convert to fraction form
    278,650.40/384,655.28 = 188,129/x
  3. Step 3: Cross multiply
    278,650.40x = 384,655.28 × 188,129
  4. Step 4: Simplify right side
    278,650.40x = 72,364,813,171.12
  5. Step 5: Solve for x
    x = 72,364,813,171.12/278,650.40
  6. Step 6: Final answer
    x = 259,697.50

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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.