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Finding the Fourth Proportional to 356,141.54, 491,522.31 and 203,144.69

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Solution

The fourth proportional to 356,141.54, 491,522.31 and 203,144.69 is: 280,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,141.54 : 491,522.31 = 203,144.69 : x
  2. Step 2: Convert to fraction form
    356,141.54/491,522.31 = 203,144.69/x
  3. Step 3: Cross multiply
    356,141.54x = 491,522.31 × 203,144.69
  4. Step 4: Simplify right side
    356,141.54x = 99,850,148,521.84
  5. Step 5: Solve for x
    x = 99,850,148,521.84/356,141.54
  6. Step 6: Final answer
    x = 280,366.47

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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.