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Finding the Fourth Proportional to 306,072.60, 459,108.90 and 221,435.70

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Solution

The fourth proportional to 306,072.60, 459,108.90 and 221,435.70 is: 332,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072.60 : 459,108.90 = 221,435.70 : x
  2. Step 2: Convert to fraction form
    306,072.60/459,108.90 = 221,435.70/x
  3. Step 3: Cross multiply
    306,072.60x = 459,108.90 × 221,435.70
  4. Step 4: Simplify right side
    306,072.60x = 101,663,100,647.73
  5. Step 5: Solve for x
    x = 101,663,100,647.73/306,072.60
  6. Step 6: Final answer
    x = 332,153.55

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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.