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Finding the Fourth Proportional to 289,768.11, 399,879.75 and 162,443.70

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Solution

The fourth proportional to 289,768.11, 399,879.75 and 162,443.70 is: 224,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,768.11 : 399,879.75 = 162,443.70 : x
  2. Step 2: Convert to fraction form
    289,768.11/399,879.75 = 162,443.70/x
  3. Step 3: Cross multiply
    289,768.11x = 399,879.75 × 162,443.70
  4. Step 4: Simplify right side
    289,768.11x = 64,957,946,145.08
  5. Step 5: Solve for x
    x = 64,957,946,145.08/289,768.11
  6. Step 6: Final answer
    x = 224,172.17

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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.