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Finding the Fourth Proportional to 445,223.71, 667,866.35 and 178,984.41

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Solution

The fourth proportional to 445,223.71, 667,866.35 and 178,984.41 is: 268,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,223.71 : 667,866.35 = 178,984.41 : x
  2. Step 2: Convert to fraction form
    445,223.71/667,866.35 = 178,984.41/x
  3. Step 3: Cross multiply
    445,223.71x = 667,866.35 × 178,984.41
  4. Step 4: Simplify right side
    445,223.71x = 119,537,664,613.60
  5. Step 5: Solve for x
    x = 119,537,664,613.60/445,223.71
  6. Step 6: Final answer
    x = 268,488.99

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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.