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Finding the Fourth Proportional to 280,940.58, 421,347.66 and 81,216.48

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Solution

The fourth proportional to 280,940.58, 421,347.66 and 81,216.48 is: 121,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.58 : 421,347.66 = 81,216.48 : x
  2. Step 2: Convert to fraction form
    280,940.58/421,347.66 = 81,216.48/x
  3. Step 3: Cross multiply
    280,940.58x = 421,347.66 × 81,216.48
  4. Step 4: Simplify right side
    280,940.58x = 34,220,373,801.44
  5. Step 5: Solve for x
    x = 34,220,373,801.44/280,940.58
  6. Step 6: Final answer
    x = 121,806.45

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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.