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Finding the Fourth Proportional to 289,898.50, 400,078.86 and 167,396.05

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Solution

The fourth proportional to 289,898.50, 400,078.86 and 167,396.05 is: 231,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,898.50 : 400,078.86 = 167,396.05 : x
  2. Step 2: Convert to fraction form
    289,898.50/400,078.86 = 167,396.05/x
  3. Step 3: Cross multiply
    289,898.50x = 400,078.86 × 167,396.05
  4. Step 4: Simplify right side
    289,898.50x = 66,971,620,015.52
  5. Step 5: Solve for x
    x = 66,971,620,015.52/289,898.50
  6. Step 6: Final answer
    x = 231,017.47

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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.