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Finding the Fourth Proportional to 319,690.80, 440,902.44 and 192,342.60

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Solution

The fourth proportional to 319,690.80, 440,902.44 and 192,342.60 is: 265,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,690.80 : 440,902.44 = 192,342.60 : x
  2. Step 2: Convert to fraction form
    319,690.80/440,902.44 = 192,342.60/x
  3. Step 3: Cross multiply
    319,690.80x = 440,902.44 × 192,342.60
  4. Step 4: Simplify right side
    319,690.80x = 84,804,321,655.94
  5. Step 5: Solve for x
    x = 84,804,321,655.94/319,690.80
  6. Step 6: Final answer
    x = 265,269.82

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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.