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Finding the Fourth Proportional to 289,244.50, 399,154.36 and 161,921.14

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Solution

The fourth proportional to 289,244.50, 399,154.36 and 161,921.14 is: 223,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,244.50 : 399,154.36 = 161,921.14 : x
  2. Step 2: Convert to fraction form
    289,244.50/399,154.36 = 161,921.14/x
  3. Step 3: Cross multiply
    289,244.50x = 399,154.36 × 161,921.14
  4. Step 4: Simplify right side
    289,244.50x = 64,631,526,606.60
  5. Step 5: Solve for x
    x = 64,631,526,606.60/289,244.50
  6. Step 6: Final answer
    x = 223,449.46

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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.