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Finding the Fourth Proportional to 289,144.20, 433,910.70 and 162,784.20

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Solution

The fourth proportional to 289,144.20, 433,910.70 and 162,784.20 is: 244,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,144.20 : 433,910.70 = 162,784.20 : x
  2. Step 2: Convert to fraction form
    289,144.20/433,910.70 = 162,784.20/x
  3. Step 3: Cross multiply
    289,144.20x = 433,910.70 × 162,784.20
  4. Step 4: Simplify right side
    289,144.20x = 70,633,806,170.94
  5. Step 5: Solve for x
    x = 70,633,806,170.94/289,144.20
  6. Step 6: Final answer
    x = 244,285.74

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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.