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Finding the Fourth Proportional to 270,310.78, 373,056.06 and 149,461.21

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Solution

The fourth proportional to 270,310.78, 373,056.06 and 149,461.21 is: 206,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,310.78 : 373,056.06 = 149,461.21 : x
  2. Step 2: Convert to fraction form
    270,310.78/373,056.06 = 149,461.21/x
  3. Step 3: Cross multiply
    270,310.78x = 373,056.06 × 149,461.21
  4. Step 4: Simplify right side
    270,310.78x = 55,757,410,125.43
  5. Step 5: Solve for x
    x = 55,757,410,125.43/270,310.78
  6. Step 6: Final answer
    x = 206,271.50

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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.