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Finding the Fourth Proportional to 289,744.70, 434,328.08 and 137,674.89

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Solution

The fourth proportional to 289,744.70, 434,328.08 and 137,674.89 is: 206,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,744.70 : 434,328.08 = 137,674.89 : x
  2. Step 2: Convert to fraction form
    289,744.70/434,328.08 = 137,674.89/x
  3. Step 3: Cross multiply
    289,744.70x = 434,328.08 × 137,674.89
  4. Step 4: Simplify right side
    289,744.70x = 59,796,069,949.54
  5. Step 5: Solve for x
    x = 59,796,069,949.54/289,744.70
  6. Step 6: Final answer
    x = 206,375.03

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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.