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Finding the Fourth Proportional to 288,698.26, 398,387.46 and 159,629.25

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Solution

The fourth proportional to 288,698.26, 398,387.46 and 159,629.25 is: 220,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698.26 : 398,387.46 = 159,629.25 : x
  2. Step 2: Convert to fraction form
    288,698.26/398,387.46 = 159,629.25/x
  3. Step 3: Cross multiply
    288,698.26x = 398,387.46 × 159,629.25
  4. Step 4: Simplify right side
    288,698.26x = 63,594,291,449.21
  5. Step 5: Solve for x
    x = 63,594,291,449.21/288,698.26
  6. Step 6: Final answer
    x = 220,279.44

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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.