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Finding the Fourth Proportional to 319,455.30, 440,990.01 and 206,333.22

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Solution

The fourth proportional to 319,455.30, 440,990.01 and 206,333.22 is: 284,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,455.30 : 440,990.01 = 206,333.22 : x
  2. Step 2: Convert to fraction form
    319,455.30/440,990.01 = 206,333.22/x
  3. Step 3: Cross multiply
    319,455.30x = 440,990.01 × 206,333.22
  4. Step 4: Simplify right side
    319,455.30x = 90,990,888,751.13
  5. Step 5: Solve for x
    x = 90,990,888,751.13/319,455.30
  6. Step 6: Final answer
    x = 284,831.36

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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.