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Finding the Fourth Proportional to 645,161.65, 967,679.90 and 195,886.42

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Solution

The fourth proportional to 645,161.65, 967,679.90 and 195,886.42 is: 293,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,161.65 : 967,679.90 = 195,886.42 : x
  2. Step 2: Convert to fraction form
    645,161.65/967,679.90 = 195,886.42/x
  3. Step 3: Cross multiply
    645,161.65x = 967,679.90 × 195,886.42
  4. Step 4: Simplify right side
    645,161.65x = 189,555,349,754.76
  5. Step 5: Solve for x
    x = 189,555,349,754.76/645,161.65
  6. Step 6: Final answer
    x = 293,810.63

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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.