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Finding the Fourth Proportional to 220,783.68, 303,912.16 and 192,440

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Solution

The fourth proportional to 220,783.68, 303,912.16 and 192,440 is: 264,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,783.68 : 303,912.16 = 192,440 : x
  2. Step 2: Convert to fraction form
    220,783.68/303,912.16 = 192,440/x
  3. Step 3: Cross multiply
    220,783.68x = 303,912.16 × 192,440
  4. Step 4: Simplify right side
    220,783.68x = 58,484,856,070.40
  5. Step 5: Solve for x
    x = 58,484,856,070.40/220,783.68
  6. Step 6: Final answer
    x = 264,896.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.