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Finding the Fourth Proportional to 309,296, 426,829.30 and 180,311.06

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Solution

The fourth proportional to 309,296, 426,829.30 and 180,311.06 is: 248,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,296 : 426,829.30 = 180,311.06 : x
  2. Step 2: Convert to fraction form
    309,296/426,829.30 = 180,311.06/x
  3. Step 3: Cross multiply
    309,296x = 426,829.30 × 180,311.06
  4. Step 4: Simplify right side
    309,296x = 76,962,043,522.06
  5. Step 5: Solve for x
    x = 76,962,043,522.06/309,296
  6. Step 6: Final answer
    x = 248,829.74

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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.