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Finding the Fourth Proportional to 371,880.56, 557,207.84 and 214,241.60

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Solution

The fourth proportional to 371,880.56, 557,207.84 and 214,241.60 is: 321,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,880.56 : 557,207.84 = 214,241.60 : x
  2. Step 2: Convert to fraction form
    371,880.56/557,207.84 = 214,241.60/x
  3. Step 3: Cross multiply
    371,880.56x = 557,207.84 × 214,241.60
  4. Step 4: Simplify right side
    371,880.56x = 119,377,099,174.14
  5. Step 5: Solve for x
    x = 119,377,099,174.14/371,880.56
  6. Step 6: Final answer
    x = 321,009.25

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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.