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Finding the Fourth Proportional to 256,583.80, 383,838.90 and 221,908.60

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Solution

The fourth proportional to 256,583.80, 383,838.90 and 221,908.60 is: 331,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,583.80 : 383,838.90 = 221,908.60 : x
  2. Step 2: Convert to fraction form
    256,583.80/383,838.90 = 221,908.60/x
  3. Step 3: Cross multiply
    256,583.80x = 383,838.90 × 221,908.60
  4. Step 4: Simplify right side
    256,583.80x = 85,177,152,924.54
  5. Step 5: Solve for x
    x = 85,177,152,924.54/256,583.80
  6. Step 6: Final answer
    x = 331,966.22

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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.