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Finding the Fourth Proportional to 383,756.48, 529,576.80 and 214,020.80

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Solution

The fourth proportional to 383,756.48, 529,576.80 and 214,020.80 is: 295,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,756.48 : 529,576.80 = 214,020.80 : x
  2. Step 2: Convert to fraction form
    383,756.48/529,576.80 = 214,020.80/x
  3. Step 3: Cross multiply
    383,756.48x = 529,576.80 × 214,020.80
  4. Step 4: Simplify right side
    383,756.48x = 113,340,450,397.44
  5. Step 5: Solve for x
    x = 113,340,450,397.44/383,756.48
  6. Step 6: Final answer
    x = 295,344.72

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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.