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Finding the Fourth Proportional to 288,940.70, 433,281.45 and 111,388.70

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Solution

The fourth proportional to 288,940.70, 433,281.45 and 111,388.70 is: 167,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.70 : 433,281.45 = 111,388.70 : x
  2. Step 2: Convert to fraction form
    288,940.70/433,281.45 = 111,388.70/x
  3. Step 3: Cross multiply
    288,940.70x = 433,281.45 × 111,388.70
  4. Step 4: Simplify right side
    288,940.70x = 48,262,657,449.62
  5. Step 5: Solve for x
    x = 48,262,657,449.62/288,940.70
  6. Step 6: Final answer
    x = 167,033.09

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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.