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Finding the Fourth Proportional to 288,917.20, 398,703.44 and 161,592.70

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Solution

The fourth proportional to 288,917.20, 398,703.44 and 161,592.70 is: 222,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,917.20 : 398,703.44 = 161,592.70 : x
  2. Step 2: Convert to fraction form
    288,917.20/398,703.44 = 161,592.70/x
  3. Step 3: Cross multiply
    288,917.20x = 398,703.44 × 161,592.70
  4. Step 4: Simplify right side
    288,917.20x = 64,427,565,368.89
  5. Step 5: Solve for x
    x = 64,427,565,368.89/288,917.20
  6. Step 6: Final answer
    x = 222,996.64

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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.