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Finding the Fourth Proportional to 295,344, 407,583.36 and 161,216.64

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Solution

The fourth proportional to 295,344, 407,583.36 and 161,216.64 is: 222,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,344 : 407,583.36 = 161,216.64 : x
  2. Step 2: Convert to fraction form
    295,344/407,583.36 = 161,216.64/x
  3. Step 3: Cross multiply
    295,344x = 407,583.36 × 161,216.64
  4. Step 4: Simplify right side
    295,344x = 65,709,219,819.11
  5. Step 5: Solve for x
    x = 65,709,219,819.11/295,344
  6. Step 6: Final answer
    x = 222,483.68

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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.