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Finding the Fourth Proportional to 421,885.26, 582,198.23 and 230,898.20

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Solution

The fourth proportional to 421,885.26, 582,198.23 and 230,898.20 is: 318,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,885.26 : 582,198.23 = 230,898.20 : x
  2. Step 2: Convert to fraction form
    421,885.26/582,198.23 = 230,898.20/x
  3. Step 3: Cross multiply
    421,885.26x = 582,198.23 × 230,898.20
  4. Step 4: Simplify right side
    421,885.26x = 134,428,521,016.44
  5. Step 5: Solve for x
    x = 134,428,521,016.44/421,885.26
  6. Step 6: Final answer
    x = 318,637.63

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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.