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Finding the Fourth Proportional to 289,233.04, 399,137.52 and 161,908.48

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Solution

The fourth proportional to 289,233.04, 399,137.52 and 161,908.48 is: 223,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,233.04 : 399,137.52 = 161,908.48 : x
  2. Step 2: Convert to fraction form
    289,233.04/399,137.52 = 161,908.48/x
  3. Step 3: Cross multiply
    289,233.04x = 399,137.52 × 161,908.48
  4. Step 4: Simplify right side
    289,233.04x = 64,623,749,174.17
  5. Step 5: Solve for x
    x = 64,623,749,174.17/289,233.04
  6. Step 6: Final answer
    x = 223,431.42

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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.