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Finding the Fourth Proportional to 270,033.84, 372,649.32 and 149,178

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Solution

The fourth proportional to 270,033.84, 372,649.32 and 149,178 is: 205,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,033.84 : 372,649.32 = 149,178 : x
  2. Step 2: Convert to fraction form
    270,033.84/372,649.32 = 149,178/x
  3. Step 3: Cross multiply
    270,033.84x = 372,649.32 × 149,178
  4. Step 4: Simplify right side
    270,033.84x = 55,591,080,258.96
  5. Step 5: Solve for x
    x = 55,591,080,258.96/270,033.84
  6. Step 6: Final answer
    x = 205,867.09

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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.