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Finding the Fourth Proportional to 511,090, 705,274.86 and 293,252.56

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Solution

The fourth proportional to 511,090, 705,274.86 and 293,252.56 is: 404,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,090 : 705,274.86 = 293,252.56 : x
  2. Step 2: Convert to fraction form
    511,090/705,274.86 = 293,252.56/x
  3. Step 3: Cross multiply
    511,090x = 705,274.86 × 293,252.56
  4. Step 4: Simplify right side
    511,090x = 206,823,658,198.64
  5. Step 5: Solve for x
    x = 206,823,658,198.64/511,090
  6. Step 6: Final answer
    x = 404,671.70

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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.