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Finding the Fourth Proportional to 289,605.21, 434,276.59 and 188,303.37

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Solution

The fourth proportional to 289,605.21, 434,276.59 and 188,303.37 is: 282,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,605.21 : 434,276.59 = 188,303.37 : x
  2. Step 2: Convert to fraction form
    289,605.21/434,276.59 = 188,303.37/x
  3. Step 3: Cross multiply
    289,605.21x = 434,276.59 × 188,303.37
  4. Step 4: Simplify right side
    289,605.21x = 81,775,743,662.88
  5. Step 5: Solve for x
    x = 81,775,743,662.88/289,605.21
  6. Step 6: Final answer
    x = 282,369.73

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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.