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Finding the Fourth Proportional to 290,963.41, 401,525.63 and 163,639

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Solution

The fourth proportional to 290,963.41, 401,525.63 and 163,639 is: 225,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,963.41 : 401,525.63 = 163,639 : x
  2. Step 2: Convert to fraction form
    290,963.41/401,525.63 = 163,639/x
  3. Step 3: Cross multiply
    290,963.41x = 401,525.63 × 163,639
  4. Step 4: Simplify right side
    290,963.41x = 65,705,252,567.57
  5. Step 5: Solve for x
    x = 65,705,252,567.57/290,963.41
  6. Step 6: Final answer
    x = 225,819.64

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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.