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Finding the Fourth Proportional to 289,957.28, 400,144.20 and 160,898

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Solution

The fourth proportional to 289,957.28, 400,144.20 and 160,898 is: 222,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,957.28 : 400,144.20 = 160,898 : x
  2. Step 2: Convert to fraction form
    289,957.28/400,144.20 = 160,898/x
  3. Step 3: Cross multiply
    289,957.28x = 400,144.20 × 160,898
  4. Step 4: Simplify right side
    289,957.28x = 64,382,401,491.60
  5. Step 5: Solve for x
    x = 64,382,401,491.60/289,957.28
  6. Step 6: Final answer
    x = 222,040.99

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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.