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Finding the Fourth Proportional to 290,951.31, 401,465.88 and 163,619.31

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Solution

The fourth proportional to 290,951.31, 401,465.88 and 163,619.31 is: 225,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,951.31 : 401,465.88 = 163,619.31 : x
  2. Step 2: Convert to fraction form
    290,951.31/401,465.88 = 163,619.31/x
  3. Step 3: Cross multiply
    290,951.31x = 401,465.88 × 163,619.31
  4. Step 4: Simplify right side
    290,951.31x = 65,687,570,274.14
  5. Step 5: Solve for x
    x = 65,687,570,274.14/290,951.31
  6. Step 6: Final answer
    x = 225,768.26

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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.