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Finding the Fourth Proportional to 288,958.47, 398,792.69 and 166,455.10

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Solution

The fourth proportional to 288,958.47, 398,792.69 and 166,455.10 is: 229,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,958.47 : 398,792.69 = 166,455.10 : x
  2. Step 2: Convert to fraction form
    288,958.47/398,792.69 = 166,455.10/x
  3. Step 3: Cross multiply
    288,958.47x = 398,792.69 × 166,455.10
  4. Step 4: Simplify right side
    288,958.47x = 66,381,077,093.22
  5. Step 5: Solve for x
    x = 66,381,077,093.22/288,958.47
  6. Step 6: Final answer
    x = 229,725.32

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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.