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Finding the Fourth Proportional to 356,382.54, 491,807.82 and 213,142.59

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Solution

The fourth proportional to 356,382.54, 491,807.82 and 213,142.59 is: 294,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,382.54 : 491,807.82 = 213,142.59 : x
  2. Step 2: Convert to fraction form
    356,382.54/491,807.82 = 213,142.59/x
  3. Step 3: Cross multiply
    356,382.54x = 491,807.82 × 213,142.59
  4. Step 4: Simplify right side
    356,382.54x = 104,825,192,537.05
  5. Step 5: Solve for x
    x = 104,825,192,537.05/356,382.54
  6. Step 6: Final answer
    x = 294,136.72

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1.5x scale

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.