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Finding the Fourth Proportional to 280,257, 386,754.66 and 179,655

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Solution

The fourth proportional to 280,257, 386,754.66 and 179,655 is: 247,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,257 : 386,754.66 = 179,655 : x
  2. Step 2: Convert to fraction form
    280,257/386,754.66 = 179,655/x
  3. Step 3: Cross multiply
    280,257x = 386,754.66 × 179,655
  4. Step 4: Simplify right side
    280,257x = 69,482,408,442.30
  5. Step 5: Solve for x
    x = 69,482,408,442.30/280,257
  6. Step 6: Final answer
    x = 247,923.90

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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.