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Finding the Fourth Proportional to 422,045.37, 582,359.76 and 256,387.41

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Solution

The fourth proportional to 422,045.37, 582,359.76 and 256,387.41 is: 353,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,045.37 : 582,359.76 = 256,387.41 : x
  2. Step 2: Convert to fraction form
    422,045.37/582,359.76 = 256,387.41/x
  3. Step 3: Cross multiply
    422,045.37x = 582,359.76 × 256,387.41
  4. Step 4: Simplify right side
    422,045.37x = 149,309,710,554.62
  5. Step 5: Solve for x
    x = 149,309,710,554.62/422,045.37
  6. Step 6: Final answer
    x = 353,776.44

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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.