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Finding the Fourth Proportional to 448,193, 672,499.32 and 223,570.79

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Solution

The fourth proportional to 448,193, 672,499.32 and 223,570.79 is: 335,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,193 : 672,499.32 = 223,570.79 : x
  2. Step 2: Convert to fraction form
    448,193/672,499.32 = 223,570.79/x
  3. Step 3: Cross multiply
    448,193x = 672,499.32 × 223,570.79
  4. Step 4: Simplify right side
    448,193x = 150,351,203,129.01
  5. Step 5: Solve for x
    x = 150,351,203,129.01/448,193
  6. Step 6: Final answer
    x = 335,460.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.