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Finding the Fourth Proportional to 290,969.64, 401,477.88 and 170,087.54

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Solution

The fourth proportional to 290,969.64, 401,477.88 and 170,087.54 is: 234,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,969.64 : 401,477.88 = 170,087.54 : x
  2. Step 2: Convert to fraction form
    290,969.64/401,477.88 = 170,087.54/x
  3. Step 3: Cross multiply
    290,969.64x = 401,477.88 × 170,087.54
  4. Step 4: Simplify right side
    290,969.64x = 68,286,384,973.62
  5. Step 5: Solve for x
    x = 68,286,384,973.62/290,969.64
  6. Step 6: Final answer
    x = 234,685.60

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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.