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Finding the Fourth Proportional to 276,406.92, 414,698.04 and 98,910

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Solution

The fourth proportional to 276,406.92, 414,698.04 and 98,910 is: 148,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,406.92 : 414,698.04 = 98,910 : x
  2. Step 2: Convert to fraction form
    276,406.92/414,698.04 = 98,910/x
  3. Step 3: Cross multiply
    276,406.92x = 414,698.04 × 98,910
  4. Step 4: Simplify right side
    276,406.92x = 41,017,783,136.40
  5. Step 5: Solve for x
    x = 41,017,783,136.40/276,406.92
  6. Step 6: Final answer
    x = 148,396.37

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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.