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Finding the Fourth Proportional to 289,187.52, 399,078.36 and 161,887.56

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Solution

The fourth proportional to 289,187.52, 399,078.36 and 161,887.56 is: 223,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,187.52 : 399,078.36 = 161,887.56 : x
  2. Step 2: Convert to fraction form
    289,187.52/399,078.36 = 161,887.56/x
  3. Step 3: Cross multiply
    289,187.52x = 399,078.36 × 161,887.56
  4. Step 4: Simplify right side
    289,187.52x = 64,605,821,949.20
  5. Step 5: Solve for x
    x = 64,605,821,949.20/289,187.52
  6. Step 6: Final answer
    x = 223,404.60

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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.