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Finding the Fourth Proportional to 383,353.45, 574,293.18 and 214,361.22

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Solution

The fourth proportional to 383,353.45, 574,293.18 and 214,361.22 is: 321,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,353.45 : 574,293.18 = 214,361.22 : x
  2. Step 2: Convert to fraction form
    383,353.45/574,293.18 = 214,361.22/x
  3. Step 3: Cross multiply
    383,353.45x = 574,293.18 × 214,361.22
  4. Step 4: Simplify right side
    383,353.45x = 123,106,186,702.48
  5. Step 5: Solve for x
    x = 123,106,186,702.48/383,353.45
  6. Step 6: Final answer
    x = 321,129.72

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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.