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Finding the Fourth Proportional to 511,080.63, 705,281.77 and 281,659.17

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Solution

The fourth proportional to 511,080.63, 705,281.77 and 281,659.17 is: 388,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,080.63 : 705,281.77 = 281,659.17 : x
  2. Step 2: Convert to fraction form
    511,080.63/705,281.77 = 281,659.17/x
  3. Step 3: Cross multiply
    511,080.63x = 705,281.77 × 281,659.17
  4. Step 4: Simplify right side
    511,080.63x = 198,649,076,546.04
  5. Step 5: Solve for x
    x = 198,649,076,546.04/511,080.63
  6. Step 6: Final answer
    x = 388,684.42

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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.