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Finding the Fourth Proportional to 289,903.26, 400,066.97 and 160,837.68

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Solution

The fourth proportional to 289,903.26, 400,066.97 and 160,837.68 is: 221,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,903.26 : 400,066.97 = 160,837.68 : x
  2. Step 2: Convert to fraction form
    289,903.26/400,066.97 = 160,837.68/x
  3. Step 3: Cross multiply
    289,903.26x = 400,066.97 × 160,837.68
  4. Step 4: Simplify right side
    289,903.26x = 64,345,843,299.43
  5. Step 5: Solve for x
    x = 64,345,843,299.43/289,903.26
  6. Step 6: Final answer
    x = 221,956.26

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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.