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Finding the Fourth Proportional to 289,138.62, 433,707.72 and 120,738.24

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Solution

The fourth proportional to 289,138.62, 433,707.72 and 120,738.24 is: 181,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138.62 : 433,707.72 = 120,738.24 : x
  2. Step 2: Convert to fraction form
    289,138.62/433,707.72 = 120,738.24/x
  3. Step 3: Cross multiply
    289,138.62x = 433,707.72 × 120,738.24
  4. Step 4: Simplify right side
    289,138.62x = 52,365,106,787.21
  5. Step 5: Solve for x
    x = 52,365,106,787.21/289,138.62
  6. Step 6: Final answer
    x = 181,107.27

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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.