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Finding the Fourth Proportional to 356,400, 491,832 and 197,424

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Solution

The fourth proportional to 356,400, 491,832 and 197,424 is: 272,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,400 : 491,832 = 197,424 : x
  2. Step 2: Convert to fraction form
    356,400/491,832 = 197,424/x
  3. Step 3: Cross multiply
    356,400x = 491,832 × 197,424
  4. Step 4: Simplify right side
    356,400x = 97,099,440,768
  5. Step 5: Solve for x
    x = 97,099,440,768/356,400
  6. Step 6: Final answer
    x = 272,445.12

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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.