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Finding the Fourth Proportional to 323,368.56, 446,262.41 and 180,128.70

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Solution

The fourth proportional to 323,368.56, 446,262.41 and 180,128.70 is: 248,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,368.56 : 446,262.41 = 180,128.70 : x
  2. Step 2: Convert to fraction form
    323,368.56/446,262.41 = 180,128.70/x
  3. Step 3: Cross multiply
    323,368.56x = 446,262.41 × 180,128.70
  4. Step 4: Simplify right side
    323,368.56x = 80,384,668,222.49
  5. Step 5: Solve for x
    x = 80,384,668,222.49/323,368.56
  6. Step 6: Final answer
    x = 248,585.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.