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Finding the Fourth Proportional to 511,255.58, 766,888.25 and 137,278.58

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Solution

The fourth proportional to 511,255.58, 766,888.25 and 137,278.58 is: 205,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,255.58 : 766,888.25 = 137,278.58 : x
  2. Step 2: Convert to fraction form
    511,255.58/766,888.25 = 137,278.58/x
  3. Step 3: Cross multiply
    511,255.58x = 766,888.25 × 137,278.58
  4. Step 4: Simplify right side
    511,255.58x = 105,277,329,978.69
  5. Step 5: Solve for x
    x = 105,277,329,978.69/511,255.58
  6. Step 6: Final answer
    x = 205,919.18

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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.