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Finding the Fourth Proportional to 511,071.98, 705,293.34 and 284,717.48

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Solution

The fourth proportional to 511,071.98, 705,293.34 and 284,717.48 is: 392,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,071.98 : 705,293.34 = 284,717.48 : x
  2. Step 2: Convert to fraction form
    511,071.98/705,293.34 = 284,717.48/x
  3. Step 3: Cross multiply
    511,071.98x = 705,293.34 × 284,717.48
  4. Step 4: Simplify right side
    511,071.98x = 200,809,342,425.58
  5. Step 5: Solve for x
    x = 200,809,342,425.58/511,071.98
  6. Step 6: Final answer
    x = 392,917.93

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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.