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Finding the Fourth Proportional to 451,816.67, 677,729.87 and 136,276.31

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Solution

The fourth proportional to 451,816.67, 677,729.87 and 136,276.31 is: 204,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,816.67 : 677,729.87 = 136,276.31 : x
  2. Step 2: Convert to fraction form
    451,816.67/677,729.87 = 136,276.31/x
  3. Step 3: Cross multiply
    451,816.67x = 677,729.87 × 136,276.31
  4. Step 4: Simplify right side
    451,816.67x = 92,358,521,790.35
  5. Step 5: Solve for x
    x = 92,358,521,790.35/451,816.67
  6. Step 6: Final answer
    x = 204,415.93

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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.