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Finding the Fourth Proportional to 356,076, 491,384.88 and 197,100

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Solution

The fourth proportional to 356,076, 491,384.88 and 197,100 is: 271,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,076 : 491,384.88 = 197,100 : x
  2. Step 2: Convert to fraction form
    356,076/491,384.88 = 197,100/x
  3. Step 3: Cross multiply
    356,076x = 491,384.88 × 197,100
  4. Step 4: Simplify right side
    356,076x = 96,851,959,848
  5. Step 5: Solve for x
    x = 96,851,959,848/356,076
  6. Step 6: Final answer
    x = 271,998

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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.