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Finding the Fourth Proportional to 289,898.06, 400,078.25 and 167,395.61

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Solution

The fourth proportional to 289,898.06, 400,078.25 and 167,395.61 is: 231,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,898.06 : 400,078.25 = 167,395.61 : x
  2. Step 2: Convert to fraction form
    289,898.06/400,078.25 = 167,395.61/x
  3. Step 3: Cross multiply
    289,898.06x = 400,078.25 × 167,395.61
  4. Step 4: Simplify right side
    289,898.06x = 66,971,343,732.83
  5. Step 5: Solve for x
    x = 66,971,343,732.83/289,898.06
  6. Step 6: Final answer
    x = 231,016.87

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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.