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Finding the Fourth Proportional to 289,449.72, 433,426.86 and 199,769.22

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Solution

The fourth proportional to 289,449.72, 433,426.86 and 199,769.22 is: 299,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,449.72 : 433,426.86 = 199,769.22 : x
  2. Step 2: Convert to fraction form
    289,449.72/433,426.86 = 199,769.22/x
  3. Step 3: Cross multiply
    289,449.72x = 433,426.86 × 199,769.22
  4. Step 4: Simplify right side
    289,449.72x = 86,585,345,749.25
  5. Step 5: Solve for x
    x = 86,585,345,749.25/289,449.72
  6. Step 6: Final answer
    x = 299,137.78

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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.