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Finding the Fourth Proportional to 298,453.64, 412,235.88 and 216,651.34

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Solution

The fourth proportional to 298,453.64, 412,235.88 and 216,651.34 is: 299,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,453.64 : 412,235.88 = 216,651.34 : x
  2. Step 2: Convert to fraction form
    298,453.64/412,235.88 = 216,651.34/x
  3. Step 3: Cross multiply
    298,453.64x = 412,235.88 × 216,651.34
  4. Step 4: Simplify right side
    298,453.64x = 89,311,453,736.90
  5. Step 5: Solve for x
    x = 89,311,453,736.90/298,453.64
  6. Step 6: Final answer
    x = 299,247.33

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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.