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Finding the Fourth Proportional to 280,745.64, 387,468.50 and 178,738.52

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Solution

The fourth proportional to 280,745.64, 387,468.50 and 178,738.52 is: 246,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,745.64 : 387,468.50 = 178,738.52 : x
  2. Step 2: Convert to fraction form
    280,745.64/387,468.50 = 178,738.52/x
  3. Step 3: Cross multiply
    280,745.64x = 387,468.50 × 178,738.52
  4. Step 4: Simplify right side
    280,745.64x = 69,255,543,405.58
  5. Step 5: Solve for x
    x = 69,255,543,405.58/280,745.64
  6. Step 6: Final answer
    x = 246,684.31

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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.