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Finding the Fourth Proportional to 319,272.40, 440,648.40 and 192,018.16

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Solution

The fourth proportional to 319,272.40, 440,648.40 and 192,018.16 is: 265,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,272.40 : 440,648.40 = 192,018.16 : x
  2. Step 2: Convert to fraction form
    319,272.40/440,648.40 = 192,018.16/x
  3. Step 3: Cross multiply
    319,272.40x = 440,648.40 × 192,018.16
  4. Step 4: Simplify right side
    319,272.40x = 84,612,494,974.94
  5. Step 5: Solve for x
    x = 84,612,494,974.94/319,272.40
  6. Step 6: Final answer
    x = 265,016.63

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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.