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Finding the Fourth Proportional to 664,813.64, 997,074.63 and 191,396.18

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Solution

The fourth proportional to 664,813.64, 997,074.63 and 191,396.18 is: 287,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,813.64 : 997,074.63 = 191,396.18 : x
  2. Step 2: Convert to fraction form
    664,813.64/997,074.63 = 191,396.18/x
  3. Step 3: Cross multiply
    664,813.64x = 997,074.63 × 191,396.18
  4. Step 4: Simplify right side
    664,813.64x = 190,836,277,849.60
  5. Step 5: Solve for x
    x = 190,836,277,849.60/664,813.64
  6. Step 6: Final answer
    x = 287,052.29

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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.