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Finding the Fourth Proportional to 290,886.76, 401,418.39 and 161,824.60

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Solution

The fourth proportional to 290,886.76, 401,418.39 and 161,824.60 is: 223,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,886.76 : 401,418.39 = 161,824.60 : x
  2. Step 2: Convert to fraction form
    290,886.76/401,418.39 = 161,824.60/x
  3. Step 3: Cross multiply
    290,886.76x = 401,418.39 × 161,824.60
  4. Step 4: Simplify right side
    290,886.76x = 64,959,370,394.39
  5. Step 5: Solve for x
    x = 64,959,370,394.39/290,886.76
  6. Step 6: Final answer
    x = 223,314.98

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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.