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Finding the Fourth Proportional to 325,078.64, 448,427.92 and 189,097.28

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Solution

The fourth proportional to 325,078.64, 448,427.92 and 189,097.28 is: 260,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,078.64 : 448,427.92 = 189,097.28 : x
  2. Step 2: Convert to fraction form
    325,078.64/448,427.92 = 189,097.28/x
  3. Step 3: Cross multiply
    325,078.64x = 448,427.92 × 189,097.28
  4. Step 4: Simplify right side
    325,078.64x = 84,796,499,948.06
  5. Step 5: Solve for x
    x = 84,796,499,948.06/325,078.64
  6. Step 6: Final answer
    x = 260,849.19

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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.