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Finding the Fourth Proportional to 289,324.40, 434,051.40 and 111,815.60

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Solution

The fourth proportional to 289,324.40, 434,051.40 and 111,815.60 is: 167,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,324.40 : 434,051.40 = 111,815.60 : x
  2. Step 2: Convert to fraction form
    289,324.40/434,051.40 = 111,815.60/x
  3. Step 3: Cross multiply
    289,324.40x = 434,051.40 × 111,815.60
  4. Step 4: Simplify right side
    289,324.40x = 48,533,717,721.84
  5. Step 5: Solve for x
    x = 48,533,717,721.84/289,324.40
  6. Step 6: Final answer
    x = 167,748.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.