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Finding the Fourth Proportional to 288,708.66, 398,383.20 and 159,629.58

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Solution

The fourth proportional to 288,708.66, 398,383.20 and 159,629.58 is: 220,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,708.66 : 398,383.20 = 159,629.58 : x
  2. Step 2: Convert to fraction form
    288,708.66/398,383.20 = 159,629.58/x
  3. Step 3: Cross multiply
    288,708.66x = 398,383.20 × 159,629.58
  4. Step 4: Simplify right side
    288,708.66x = 63,593,742,895.06
  5. Step 5: Solve for x
    x = 63,593,742,895.06/288,708.66
  6. Step 6: Final answer
    x = 220,269.61

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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.