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Finding the Fourth Proportional to 289,958.92, 400,145.45 and 160,897.90

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Solution

The fourth proportional to 289,958.92, 400,145.45 and 160,897.90 is: 222,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958.92 : 400,145.45 = 160,897.90 : x
  2. Step 2: Convert to fraction form
    289,958.92/400,145.45 = 160,897.90/x
  3. Step 3: Cross multiply
    289,958.92x = 400,145.45 × 160,897.90
  4. Step 4: Simplify right side
    289,958.92x = 64,382,562,599.56
  5. Step 5: Solve for x
    x = 64,382,562,599.56/289,958.92
  6. Step 6: Final answer
    x = 222,040.29

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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.