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Finding the Fourth Proportional to 442,532.74, 663,782.02 and 126,989.65

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Solution

The fourth proportional to 442,532.74, 663,782.02 and 126,989.65 is: 190,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,532.74 : 663,782.02 = 126,989.65 : x
  2. Step 2: Convert to fraction form
    442,532.74/663,782.02 = 126,989.65/x
  3. Step 3: Cross multiply
    442,532.74x = 663,782.02 × 126,989.65
  4. Step 4: Simplify right side
    442,532.74x = 84,293,446,396.09
  5. Step 5: Solve for x
    x = 84,293,446,396.09/442,532.74
  6. Step 6: Final answer
    x = 190,479.57

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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.