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Finding the Fourth Proportional to 298,785.21, 412,323.60 and 162,819.11

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Solution

The fourth proportional to 298,785.21, 412,323.60 and 162,819.11 is: 224,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,785.21 : 412,323.60 = 162,819.11 : x
  2. Step 2: Convert to fraction form
    298,785.21/412,323.60 = 162,819.11/x
  3. Step 3: Cross multiply
    298,785.21x = 412,323.60 × 162,819.11
  4. Step 4: Simplify right side
    298,785.21x = 67,134,162,309.52
  5. Step 5: Solve for x
    x = 67,134,162,309.52/298,785.21
  6. Step 6: Final answer
    x = 224,690.38

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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.