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Finding the Fourth Proportional to 288,302.71, 397,858.44 and 160,982.86

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Solution

The fourth proportional to 288,302.71, 397,858.44 and 160,982.86 is: 222,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,302.71 : 397,858.44 = 160,982.86 : x
  2. Step 2: Convert to fraction form
    288,302.71/397,858.44 = 160,982.86/x
  3. Step 3: Cross multiply
    288,302.71x = 397,858.44 × 160,982.86
  4. Step 4: Simplify right side
    288,302.71x = 64,048,389,546.34
  5. Step 5: Solve for x
    x = 64,048,389,546.34/288,302.71
  6. Step 6: Final answer
    x = 222,156.74

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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.