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Finding the Fourth Proportional to 356,350, 491,763 and 197,374

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Solution

The fourth proportional to 356,350, 491,763 and 197,374 is: 272,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,350 : 491,763 = 197,374 : x
  2. Step 2: Convert to fraction form
    356,350/491,763 = 197,374/x
  3. Step 3: Cross multiply
    356,350x = 491,763 × 197,374
  4. Step 4: Simplify right side
    356,350x = 97,061,230,362
  5. Step 5: Solve for x
    x = 97,061,230,362/356,350
  6. Step 6: Final answer
    x = 272,376.12

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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.