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Finding the Fourth Proportional to 289,846.89, 400,009.97 and 160,805.68

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Solution

The fourth proportional to 289,846.89, 400,009.97 and 160,805.68 is: 221,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,846.89 : 400,009.97 = 160,805.68 : x
  2. Step 2: Convert to fraction form
    289,846.89/400,009.97 = 160,805.68/x
  3. Step 3: Cross multiply
    289,846.89x = 400,009.97 × 160,805.68
  4. Step 4: Simplify right side
    289,846.89x = 64,323,874,634.62
  5. Step 5: Solve for x
    x = 64,323,874,634.62/289,846.89
  6. Step 6: Final answer
    x = 221,923.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.