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Finding the Fourth Proportional to 330,851.70, 496,738.35 and 206,435.70

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Solution

The fourth proportional to 330,851.70, 496,738.35 and 206,435.70 is: 309,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,851.70 : 496,738.35 = 206,435.70 : x
  2. Step 2: Convert to fraction form
    330,851.70/496,738.35 = 206,435.70/x
  3. Step 3: Cross multiply
    330,851.70x = 496,738.35 × 206,435.70
  4. Step 4: Simplify right side
    330,851.70x = 102,544,528,999.10
  5. Step 5: Solve for x
    x = 102,544,528,999.10/330,851.70
  6. Step 6: Final answer
    x = 309,941.07

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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.