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Finding the Fourth Proportional to 280,406.24, 386,960.24 and 179,804

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Solution

The fourth proportional to 280,406.24, 386,960.24 and 179,804 is: 248,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,406.24 : 386,960.24 = 179,804 : x
  2. Step 2: Convert to fraction form
    280,406.24/386,960.24 = 179,804/x
  3. Step 3: Cross multiply
    280,406.24x = 386,960.24 × 179,804
  4. Step 4: Simplify right side
    280,406.24x = 69,576,998,992.96
  5. Step 5: Solve for x
    x = 69,576,998,992.96/280,406.24
  6. Step 6: Final answer
    x = 248,129.28

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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.