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Finding the Fourth Proportional to 276,871.10, 414,978.60 and 248,658.80

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Solution

The fourth proportional to 276,871.10, 414,978.60 and 248,658.80 is: 372,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871.10 : 414,978.60 = 248,658.80 : x
  2. Step 2: Convert to fraction form
    276,871.10/414,978.60 = 248,658.80/x
  3. Step 3: Cross multiply
    276,871.10x = 414,978.60 × 248,658.80
  4. Step 4: Simplify right side
    276,871.10x = 103,188,080,701.68
  5. Step 5: Solve for x
    x = 103,188,080,701.68/276,871.10
  6. Step 6: Final answer
    x = 372,693.58

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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.