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Finding the Fourth Proportional to 511,128.28, 705,361.85 and 281,693.84

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Solution

The fourth proportional to 511,128.28, 705,361.85 and 281,693.84 is: 388,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,128.28 : 705,361.85 = 281,693.84 : x
  2. Step 2: Convert to fraction form
    511,128.28/705,361.85 = 281,693.84/x
  3. Step 3: Cross multiply
    511,128.28x = 705,361.85 × 281,693.84
  4. Step 4: Simplify right side
    511,128.28x = 198,696,089,879.41
  5. Step 5: Solve for x
    x = 198,696,089,879.41/511,128.28
  6. Step 6: Final answer
    x = 388,740.16

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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.