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Finding the Fourth Proportional to 290,392.75, 400,568.25 and 182,775.95

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Solution

The fourth proportional to 290,392.75, 400,568.25 and 182,775.95 is: 252,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,392.75 : 400,568.25 = 182,775.95 : x
  2. Step 2: Convert to fraction form
    290,392.75/400,568.25 = 182,775.95/x
  3. Step 3: Cross multiply
    290,392.75x = 400,568.25 × 182,775.95
  4. Step 4: Simplify right side
    290,392.75x = 73,214,242,433.59
  5. Step 5: Solve for x
    x = 73,214,242,433.59/290,392.75
  6. Step 6: Final answer
    x = 252,121.45

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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.