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Finding the Fourth Proportional to 511,758, 767,637 and 179,334

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Solution

The fourth proportional to 511,758, 767,637 and 179,334 is: 269,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758 : 767,637 = 179,334 : x
  2. Step 2: Convert to fraction form
    511,758/767,637 = 179,334/x
  3. Step 3: Cross multiply
    511,758x = 767,637 × 179,334
  4. Step 4: Simplify right side
    511,758x = 137,663,413,758
  5. Step 5: Solve for x
    x = 137,663,413,758/511,758
  6. Step 6: Final answer
    x = 269,001

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.