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Finding the Fourth Proportional to 419,512, 579,145.44 and 326,170.76

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Solution

The fourth proportional to 419,512, 579,145.44 and 326,170.76 is: 450,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,512 : 579,145.44 = 326,170.76 : x
  2. Step 2: Convert to fraction form
    419,512/579,145.44 = 326,170.76/x
  3. Step 3: Cross multiply
    419,512x = 579,145.44 × 326,170.76
  4. Step 4: Simplify right side
    419,512x = 188,900,308,315.33
  5. Step 5: Solve for x
    x = 188,900,308,315.33/419,512
  6. Step 6: Final answer
    x = 450,285.83

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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.