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Finding the Fourth Proportional to 422,203.76, 582,642.07 and 228,613.58

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Solution

The fourth proportional to 422,203.76, 582,642.07 and 228,613.58 is: 315,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,203.76 : 582,642.07 = 228,613.58 : x
  2. Step 2: Convert to fraction form
    422,203.76/582,642.07 = 228,613.58/x
  3. Step 3: Cross multiply
    422,203.76x = 582,642.07 × 228,613.58
  4. Step 4: Simplify right side
    422,203.76x = 133,199,885,996.57
  5. Step 5: Solve for x
    x = 133,199,885,996.57/422,203.76
  6. Step 6: Final answer
    x = 315,487.21

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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.