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Finding the Fourth Proportional to 443,236, 611,452.22 and 290,206.74

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Solution

The fourth proportional to 443,236, 611,452.22 and 290,206.74 is: 400,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,236 : 611,452.22 = 290,206.74 : x
  2. Step 2: Convert to fraction form
    443,236/611,452.22 = 290,206.74/x
  3. Step 3: Cross multiply
    443,236x = 611,452.22 × 290,206.74
  4. Step 4: Simplify right side
    443,236x = 177,447,555,431.96
  5. Step 5: Solve for x
    x = 177,447,555,431.96/443,236
  6. Step 6: Final answer
    x = 400,345.54

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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.