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Finding the Fourth Proportional to 422,362.28, 582,713.88 and 320,281.40

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Solution

The fourth proportional to 422,362.28, 582,713.88 and 320,281.40 is: 441,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,362.28 : 582,713.88 = 320,281.40 : x
  2. Step 2: Convert to fraction form
    422,362.28/582,713.88 = 320,281.40/x
  3. Step 3: Cross multiply
    422,362.28x = 582,713.88 × 320,281.40
  4. Step 4: Simplify right side
    422,362.28x = 186,632,417,285.83
  5. Step 5: Solve for x
    x = 186,632,417,285.83/422,362.28
  6. Step 6: Final answer
    x = 441,877.57

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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.