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Finding the Fourth Proportional to 289,871.08, 400,079.46 and 188,022.76

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Solution

The fourth proportional to 289,871.08, 400,079.46 and 188,022.76 is: 259,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,871.08 : 400,079.46 = 188,022.76 : x
  2. Step 2: Convert to fraction form
    289,871.08/400,079.46 = 188,022.76/x
  3. Step 3: Cross multiply
    289,871.08x = 400,079.46 × 188,022.76
  4. Step 4: Simplify right side
    289,871.08x = 75,224,044,288.51
  5. Step 5: Solve for x
    x = 75,224,044,288.51/289,871.08
  6. Step 6: Final answer
    x = 259,508.62

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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.