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Finding the Fourth Proportional to 287,968.48, 397,393.60 and 158,908

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Solution

The fourth proportional to 287,968.48, 397,393.60 and 158,908 is: 219,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,968.48 : 397,393.60 = 158,908 : x
  2. Step 2: Convert to fraction form
    287,968.48/397,393.60 = 158,908/x
  3. Step 3: Cross multiply
    287,968.48x = 397,393.60 × 158,908
  4. Step 4: Simplify right side
    287,968.48x = 63,149,022,188.80
  5. Step 5: Solve for x
    x = 63,149,022,188.80/287,968.48
  6. Step 6: Final answer
    x = 219,291.44

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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.