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Finding the Fourth Proportional to 289,266.40, 433,964.40 and 111,757.60

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Solution

The fourth proportional to 289,266.40, 433,964.40 and 111,757.60 is: 167,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,266.40 : 433,964.40 = 111,757.60 : x
  2. Step 2: Convert to fraction form
    289,266.40/433,964.40 = 111,757.60/x
  3. Step 3: Cross multiply
    289,266.40x = 433,964.40 × 111,757.60
  4. Step 4: Simplify right side
    289,266.40x = 48,498,819,829.44
  5. Step 5: Solve for x
    x = 48,498,819,829.44/289,266.40
  6. Step 6: Final answer
    x = 167,661.44

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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.