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Finding the Fourth Proportional to 280,825.20, 421,237.80 and 123,361.20

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Solution

The fourth proportional to 280,825.20, 421,237.80 and 123,361.20 is: 185,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,825.20 : 421,237.80 = 123,361.20 : x
  2. Step 2: Convert to fraction form
    280,825.20/421,237.80 = 123,361.20/x
  3. Step 3: Cross multiply
    280,825.20x = 421,237.80 × 123,361.20
  4. Step 4: Simplify right side
    280,825.20x = 51,964,400,493.36
  5. Step 5: Solve for x
    x = 51,964,400,493.36/280,825.20
  6. Step 6: Final answer
    x = 185,041.80

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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.