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Finding the Fourth Proportional to 289,234.20, 433,721.70 and 111,682.20

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Solution

The fourth proportional to 289,234.20, 433,721.70 and 111,682.20 is: 167,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.20 : 433,721.70 = 111,682.20 : x
  2. Step 2: Convert to fraction form
    289,234.20/433,721.70 = 111,682.20/x
  3. Step 3: Cross multiply
    289,234.20x = 433,721.70 × 111,682.20
  4. Step 4: Simplify right side
    289,234.20x = 48,438,993,643.74
  5. Step 5: Solve for x
    x = 48,438,993,643.74/289,234.20
  6. Step 6: Final answer
    x = 167,473.26

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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.