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Finding the Fourth Proportional to 511,166.70, 705,381.26 and 281,723.26

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Solution

The fourth proportional to 511,166.70, 705,381.26 and 281,723.26 is: 388,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,166.70 : 705,381.26 = 281,723.26 : x
  2. Step 2: Convert to fraction form
    511,166.70/705,381.26 = 281,723.26/x
  3. Step 3: Cross multiply
    511,166.70x = 705,381.26 × 281,723.26
  4. Step 4: Simplify right side
    511,166.70x = 198,722,308,110.11
  5. Step 5: Solve for x
    x = 198,722,308,110.11/511,166.70
  6. Step 6: Final answer
    x = 388,762.23

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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.