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Finding the Fourth Proportional to 289,944.26, 400,147.19 and 160,894.86

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Solution

The fourth proportional to 289,944.26, 400,147.19 and 160,894.86 is: 222,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,944.26 : 400,147.19 = 160,894.86 : x
  2. Step 2: Convert to fraction form
    289,944.26/400,147.19 = 160,894.86/x
  3. Step 3: Cross multiply
    289,944.26x = 400,147.19 × 160,894.86
  4. Step 4: Simplify right side
    289,944.26x = 64,381,624,412.77
  5. Step 5: Solve for x
    x = 64,381,624,412.77/289,944.26
  6. Step 6: Final answer
    x = 222,048.28

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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.