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Finding the Fourth Proportional to 289,169.73, 399,054.18 and 161,845.32

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Solution

The fourth proportional to 289,169.73, 399,054.18 and 161,845.32 is: 223,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,169.73 : 399,054.18 = 161,845.32 : x
  2. Step 2: Convert to fraction form
    289,169.73/399,054.18 = 161,845.32/x
  3. Step 3: Cross multiply
    289,169.73x = 399,054.18 × 161,845.32
  4. Step 4: Simplify right side
    289,169.73x = 64,585,051,459.44
  5. Step 5: Solve for x
    x = 64,585,051,459.44/289,169.73
  6. Step 6: Final answer
    x = 223,346.52

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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.