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Finding the Fourth Proportional to 422,381.92, 582,901.64 and 231,395.28

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Solution

The fourth proportional to 422,381.92, 582,901.64 and 231,395.28 is: 319,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,381.92 : 582,901.64 = 231,395.28 : x
  2. Step 2: Convert to fraction form
    422,381.92/582,901.64 = 231,395.28/x
  3. Step 3: Cross multiply
    422,381.92x = 582,901.64 × 231,395.28
  4. Step 4: Simplify right side
    422,381.92x = 134,880,688,200.26
  5. Step 5: Solve for x
    x = 134,880,688,200.26/422,381.92
  6. Step 6: Final answer
    x = 319,333.48

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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.