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Finding the Fourth Proportional to 643,376.05, 965,071.06 and 194,100.84

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Solution

The fourth proportional to 643,376.05, 965,071.06 and 194,100.84 is: 291,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,376.05 : 965,071.06 = 194,100.84 : x
  2. Step 2: Convert to fraction form
    643,376.05/965,071.06 = 194,100.84/x
  3. Step 3: Cross multiply
    643,376.05x = 965,071.06 × 194,100.84
  4. Step 4: Simplify right side
    643,376.05x = 187,321,102,920.44
  5. Step 5: Solve for x
    x = 187,321,102,920.44/643,376.05
  6. Step 6: Final answer
    x = 291,153.37

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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.