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Finding the Fourth Proportional to 289,706.58, 434,453.31 and 100,119.06

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Solution

The fourth proportional to 289,706.58, 434,453.31 and 100,119.06 is: 150,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,706.58 : 434,453.31 = 100,119.06 : x
  2. Step 2: Convert to fraction form
    289,706.58/434,453.31 = 100,119.06/x
  3. Step 3: Cross multiply
    289,706.58x = 434,453.31 × 100,119.06
  4. Step 4: Simplify right side
    289,706.58x = 43,497,057,011.09
  5. Step 5: Solve for x
    x = 43,497,057,011.09/289,706.58
  6. Step 6: Final answer
    x = 150,141.76

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1.5x scale

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.