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Finding the Fourth Proportional to 289,147.49, 433,638 and 99,600.20

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Solution

The fourth proportional to 289,147.49, 433,638 and 99,600.20 is: 149,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147.49 : 433,638 = 99,600.20 : x
  2. Step 2: Convert to fraction form
    289,147.49/433,638 = 99,600.20/x
  3. Step 3: Cross multiply
    289,147.49x = 433,638 × 99,600.20
  4. Step 4: Simplify right side
    289,147.49x = 43,190,431,527.60
  5. Step 5: Solve for x
    x = 43,190,431,527.60/289,147.49
  6. Step 6: Final answer
    x = 149,371.63

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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.