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Finding the Fourth Proportional to 280,846.40, 421,271.40 and 112,380.80

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Solution

The fourth proportional to 280,846.40, 421,271.40 and 112,380.80 is: 168,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,846.40 : 421,271.40 = 112,380.80 : x
  2. Step 2: Convert to fraction form
    280,846.40/421,271.40 = 112,380.80/x
  3. Step 3: Cross multiply
    280,846.40x = 421,271.40 × 112,380.80
  4. Step 4: Simplify right side
    280,846.40x = 47,342,816,949.12
  5. Step 5: Solve for x
    x = 47,342,816,949.12/280,846.40
  6. Step 6: Final answer
    x = 168,571.92

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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.