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Finding the Fourth Proportional to 447,103.12, 670,597.50 and 147,509.56

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Solution

The fourth proportional to 447,103.12, 670,597.50 and 147,509.56 is: 221,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,103.12 : 670,597.50 = 147,509.56 : x
  2. Step 2: Convert to fraction form
    447,103.12/670,597.50 = 147,509.56/x
  3. Step 3: Cross multiply
    447,103.12x = 670,597.50 × 147,509.56
  4. Step 4: Simplify right side
    447,103.12x = 98,919,542,162.10
  5. Step 5: Solve for x
    x = 98,919,542,162.10/447,103.12
  6. Step 6: Final answer
    x = 221,245.48

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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.