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Finding the Fourth Proportional to 823,963.75, 1,235,978.43 and 255,403.89

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Solution

The fourth proportional to 823,963.75, 1,235,978.43 and 255,403.89 is: 383,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,963.75 : 1,235,978.43 = 255,403.89 : x
  2. Step 2: Convert to fraction form
    823,963.75/1,235,978.43 = 255,403.89/x
  3. Step 3: Cross multiply
    823,963.75x = 1,235,978.43 × 255,403.89
  4. Step 4: Simplify right side
    823,963.75x = 315,673,698,020.33
  5. Step 5: Solve for x
    x = 315,673,698,020.33/823,963.75
  6. Step 6: Final answer
    x = 383,116.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.