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Finding the Fourth Proportional to 288,364.86, 397,944.36 and 161,045.28

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Solution

The fourth proportional to 288,364.86, 397,944.36 and 161,045.28 is: 222,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,364.86 : 397,944.36 = 161,045.28 : x
  2. Step 2: Convert to fraction form
    288,364.86/397,944.36 = 161,045.28/x
  3. Step 3: Cross multiply
    288,364.86x = 397,944.36 × 161,045.28
  4. Step 4: Simplify right side
    288,364.86x = 64,087,060,880.62
  5. Step 5: Solve for x
    x = 64,087,060,880.62/288,364.86
  6. Step 6: Final answer
    x = 222,242.96

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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.