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Finding the Fourth Proportional to 288,954.54, 398,748.42 and 161,630.64

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Solution

The fourth proportional to 288,954.54, 398,748.42 and 161,630.64 is: 223,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954.54 : 398,748.42 = 161,630.64 : x
  2. Step 2: Convert to fraction form
    288,954.54/398,748.42 = 161,630.64/x
  3. Step 3: Cross multiply
    288,954.54x = 398,748.42 × 161,630.64
  4. Step 4: Simplify right side
    288,954.54x = 64,449,962,323.59
  5. Step 5: Solve for x
    x = 64,449,962,323.59/288,954.54
  6. Step 6: Final answer
    x = 223,045.34

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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.