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Finding the Fourth Proportional to 288,054.56, 397,340.52 and 185,919.68

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Solution

The fourth proportional to 288,054.56, 397,340.52 and 185,919.68 is: 256,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,054.56 : 397,340.52 = 185,919.68 : x
  2. Step 2: Convert to fraction form
    288,054.56/397,340.52 = 185,919.68/x
  3. Step 3: Cross multiply
    288,054.56x = 397,340.52 × 185,919.68
  4. Step 4: Simplify right side
    288,054.56x = 73,873,422,329.43
  5. Step 5: Solve for x
    x = 73,873,422,329.43/288,054.56
  6. Step 6: Final answer
    x = 256,456.35

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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.