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Finding the Fourth Proportional to 319,450.80, 440,983.80 and 206,328.72

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Solution

The fourth proportional to 319,450.80, 440,983.80 and 206,328.72 is: 284,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,450.80 : 440,983.80 = 206,328.72 : x
  2. Step 2: Convert to fraction form
    319,450.80/440,983.80 = 206,328.72/x
  3. Step 3: Cross multiply
    319,450.80x = 440,983.80 × 206,328.72
  4. Step 4: Simplify right side
    319,450.80x = 90,987,622,994.74
  5. Step 5: Solve for x
    x = 90,987,622,994.74/319,450.80
  6. Step 6: Final answer
    x = 284,825.15

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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.