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Finding the Fourth Proportional to 491,077.80, 677,680.56 and 276,218.01

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Solution

The fourth proportional to 491,077.80, 677,680.56 and 276,218.01 is: 381,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,077.80 : 677,680.56 = 276,218.01 : x
  2. Step 2: Convert to fraction form
    491,077.80/677,680.56 = 276,218.01/x
  3. Step 3: Cross multiply
    491,077.80x = 677,680.56 × 276,218.01
  4. Step 4: Simplify right side
    491,077.80x = 187,187,575,698.89
  5. Step 5: Solve for x
    x = 187,187,575,698.89/491,077.80
  6. Step 6: Final answer
    x = 381,177.03

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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.