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Finding the Fourth Proportional to 270,054.08, 405,328 and 137,025.92

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Solution

The fourth proportional to 270,054.08, 405,328 and 137,025.92 is: 205,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,054.08 : 405,328 = 137,025.92 : x
  2. Step 2: Convert to fraction form
    270,054.08/405,328 = 137,025.92/x
  3. Step 3: Cross multiply
    270,054.08x = 405,328 × 137,025.92
  4. Step 4: Simplify right side
    270,054.08x = 55,540,442,101.76
  5. Step 5: Solve for x
    x = 55,540,442,101.76/270,054.08
  6. Step 6: Final answer
    x = 205,664.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.