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Finding the Fourth Proportional to 288,958.59, 398,792.88 and 166,455.21

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Solution

The fourth proportional to 288,958.59, 398,792.88 and 166,455.21 is: 229,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,958.59 : 398,792.88 = 166,455.21 : x
  2. Step 2: Convert to fraction form
    288,958.59/398,792.88 = 166,455.21/x
  3. Step 3: Cross multiply
    288,958.59x = 398,792.88 × 166,455.21
  4. Step 4: Simplify right side
    288,958.59x = 66,381,152,586.90
  5. Step 5: Solve for x
    x = 66,381,152,586.90/288,958.59
  6. Step 6: Final answer
    x = 229,725.49

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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.