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Finding the Fourth Proportional to 431,420.22, 595,361.78 and 237,823.79

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Solution

The fourth proportional to 431,420.22, 595,361.78 and 237,823.79 is: 328,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,420.22 : 595,361.78 = 237,823.79 : x
  2. Step 2: Convert to fraction form
    431,420.22/595,361.78 = 237,823.79/x
  3. Step 3: Cross multiply
    431,420.22x = 595,361.78 × 237,823.79
  4. Step 4: Simplify right side
    431,420.22x = 141,591,190,774.82
  5. Step 5: Solve for x
    x = 141,591,190,774.82/431,420.22
  6. Step 6: Final answer
    x = 328,197.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.