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Finding the Fourth Proportional to 446,433.36, 669,675.33 and 142,854.21

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Solution

The fourth proportional to 446,433.36, 669,675.33 and 142,854.21 is: 214,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,433.36 : 669,675.33 = 142,854.21 : x
  2. Step 2: Convert to fraction form
    446,433.36/669,675.33 = 142,854.21/x
  3. Step 3: Cross multiply
    446,433.36x = 669,675.33 × 142,854.21
  4. Step 4: Simplify right side
    446,433.36x = 95,665,940,223.64
  5. Step 5: Solve for x
    x = 95,665,940,223.64/446,433.36
  6. Step 6: Final answer
    x = 214,289.41

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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.