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Finding the Fourth Proportional to 289,765.96, 399,896.22 and 162,449.80

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Solution

The fourth proportional to 289,765.96, 399,896.22 and 162,449.80 is: 224,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,765.96 : 399,896.22 = 162,449.80 : x
  2. Step 2: Convert to fraction form
    289,765.96/399,896.22 = 162,449.80/x
  3. Step 3: Cross multiply
    289,765.96x = 399,896.22 × 162,449.80
  4. Step 4: Simplify right side
    289,765.96x = 64,963,060,959.76
  5. Step 5: Solve for x
    x = 64,963,060,959.76/289,765.96
  6. Step 6: Final answer
    x = 224,191.49

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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.