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Finding the Fourth Proportional to 311,083.20, 429,182.46 and 203,714.46

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Solution

The fourth proportional to 311,083.20, 429,182.46 and 203,714.46 is: 281,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,083.20 : 429,182.46 = 203,714.46 : x
  2. Step 2: Convert to fraction form
    311,083.20/429,182.46 = 203,714.46/x
  3. Step 3: Cross multiply
    311,083.20x = 429,182.46 × 203,714.46
  4. Step 4: Simplify right side
    311,083.20x = 87,430,673,080.37
  5. Step 5: Solve for x
    x = 87,430,673,080.37/311,083.20
  6. Step 6: Final answer
    x = 281,052.38

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1.5x scale

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.