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Finding the Fourth Proportional to 422,051.47, 582,432.74 and 231,082.63

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Solution

The fourth proportional to 422,051.47, 582,432.74 and 231,082.63 is: 318,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,051.47 : 582,432.74 = 231,082.63 : x
  2. Step 2: Convert to fraction form
    422,051.47/582,432.74 = 231,082.63/x
  3. Step 3: Cross multiply
    422,051.47x = 582,432.74 × 231,082.63
  4. Step 4: Simplify right side
    422,051.47x = 134,590,089,357.31
  5. Step 5: Solve for x
    x = 134,590,089,357.31/422,051.47
  6. Step 6: Final answer
    x = 318,894.97

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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.