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Finding the Fourth Proportional to 422,483.68, 582,809.40 and 286,471.60

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Solution

The fourth proportional to 422,483.68, 582,809.40 and 286,471.60 is: 395,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,483.68 : 582,809.40 = 286,471.60 : x
  2. Step 2: Convert to fraction form
    422,483.68/582,809.40 = 286,471.60/x
  3. Step 3: Cross multiply
    422,483.68x = 582,809.40 × 286,471.60
  4. Step 4: Simplify right side
    422,483.68x = 166,958,341,313.04
  5. Step 5: Solve for x
    x = 166,958,341,313.04/422,483.68
  6. Step 6: Final answer
    x = 395,182.94

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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.