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Finding the Fourth Proportional to 422,342.87, 582,833.13 and 231,356.21

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Solution

The fourth proportional to 422,342.87, 582,833.13 and 231,356.21 is: 319,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342.87 : 582,833.13 = 231,356.21 : x
  2. Step 2: Convert to fraction form
    422,342.87/582,833.13 = 231,356.21/x
  3. Step 3: Cross multiply
    422,342.87x = 582,833.13 × 231,356.21
  4. Step 4: Simplify right side
    422,342.87x = 134,842,064,019.24
  5. Step 5: Solve for x
    x = 134,842,064,019.24/422,342.87
  6. Step 6: Final answer
    x = 319,271.55

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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.