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Finding the Fourth Proportional to 665,242.44, 997,408.20 and 238,768.80

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Solution

The fourth proportional to 665,242.44, 997,408.20 and 238,768.80 is: 357,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,242.44 : 997,408.20 = 238,768.80 : x
  2. Step 2: Convert to fraction form
    665,242.44/997,408.20 = 238,768.80/x
  3. Step 3: Cross multiply
    665,242.44x = 997,408.20 × 238,768.80
  4. Step 4: Simplify right side
    665,242.44x = 238,149,959,024.16
  5. Step 5: Solve for x
    x = 238,149,959,024.16/665,242.44
  6. Step 6: Final answer
    x = 357,989.73

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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.