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Finding the Fourth Proportional to 289,234.80, 433,782.24 and 111,628.56

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Solution

The fourth proportional to 289,234.80, 433,782.24 and 111,628.56 is: 167,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.80 : 433,782.24 = 111,628.56 : x
  2. Step 2: Convert to fraction form
    289,234.80/433,782.24 = 111,628.56/x
  3. Step 3: Cross multiply
    289,234.80x = 433,782.24 × 111,628.56
  4. Step 4: Simplify right side
    289,234.80x = 48,422,486,804.77
  5. Step 5: Solve for x
    x = 48,422,486,804.77/289,234.80
  6. Step 6: Final answer
    x = 167,415.84

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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.