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Finding the Fourth Proportional to 511,128.12, 705,361.64 and 281,693.80

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Solution

The fourth proportional to 511,128.12, 705,361.64 and 281,693.80 is: 388,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,128.12 : 705,361.64 = 281,693.80 : x
  2. Step 2: Convert to fraction form
    511,128.12/705,361.64 = 281,693.80/x
  3. Step 3: Cross multiply
    511,128.12x = 705,361.64 × 281,693.80
  4. Step 4: Simplify right side
    511,128.12x = 198,696,000,219.07
  5. Step 5: Solve for x
    x = 198,696,000,219.07/511,128.12
  6. Step 6: Final answer
    x = 388,740.10

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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.