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Finding the Fourth Proportional to 511,059.63, 705,293.54 and 281,616.95

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Solution

The fourth proportional to 511,059.63, 705,293.54 and 281,616.95 is: 388,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,059.63 : 705,293.54 = 281,616.95 : x
  2. Step 2: Convert to fraction form
    511,059.63/705,293.54 = 281,616.95/x
  3. Step 3: Cross multiply
    511,059.63x = 705,293.54 × 281,616.95
  4. Step 4: Simplify right side
    511,059.63x = 198,622,618,584.81
  5. Step 5: Solve for x
    x = 198,622,618,584.81/511,059.63
  6. Step 6: Final answer
    x = 388,648.62

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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.