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Finding the Fourth Proportional to 289,012.48, 398,922.52 and 168,207.44

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Solution

The fourth proportional to 289,012.48, 398,922.52 and 168,207.44 is: 232,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,012.48 : 398,922.52 = 168,207.44 : x
  2. Step 2: Convert to fraction form
    289,012.48/398,922.52 = 168,207.44/x
  3. Step 3: Cross multiply
    289,012.48x = 398,922.52 × 168,207.44
  4. Step 4: Simplify right side
    289,012.48x = 67,101,735,847.55
  5. Step 5: Solve for x
    x = 67,101,735,847.55/289,012.48
  6. Step 6: Final answer
    x = 232,175.91

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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.