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Finding the Fourth Proportional to 647,973.82, 972,102.90 and 198,728.48

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Solution

The fourth proportional to 647,973.82, 972,102.90 and 198,728.48 is: 298,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,973.82 : 972,102.90 = 198,728.48 : x
  2. Step 2: Convert to fraction form
    647,973.82/972,102.90 = 198,728.48/x
  3. Step 3: Cross multiply
    647,973.82x = 972,102.90 × 198,728.48
  4. Step 4: Simplify right side
    647,973.82x = 193,184,531,720.59
  5. Step 5: Solve for x
    x = 193,184,531,720.59/647,973.82
  6. Step 6: Final answer
    x = 298,136.32

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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.