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Finding the Fourth Proportional to 289,032.42, 398,871.82 and 161,716.26

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Solution

The fourth proportional to 289,032.42, 398,871.82 and 161,716.26 is: 223,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.42 : 398,871.82 = 161,716.26 : x
  2. Step 2: Convert to fraction form
    289,032.42/398,871.82 = 161,716.26/x
  3. Step 3: Cross multiply
    289,032.42x = 398,871.82 × 161,716.26
  4. Step 4: Simplify right side
    289,032.42x = 64,504,056,551.14
  5. Step 5: Solve for x
    x = 64,504,056,551.14/289,032.42
  6. Step 6: Final answer
    x = 223,172.40

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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.