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Finding the Fourth Proportional to 451,980.72, 677,970.39 and 185,553.54

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Solution

The fourth proportional to 451,980.72, 677,970.39 and 185,553.54 is: 278,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,980.72 : 677,970.39 = 185,553.54 : x
  2. Step 2: Convert to fraction form
    451,980.72/677,970.39 = 185,553.54/x
  3. Step 3: Cross multiply
    451,980.72x = 677,970.39 × 185,553.54
  4. Step 4: Simplify right side
    451,980.72x = 125,799,805,879.68
  5. Step 5: Solve for x
    x = 125,799,805,879.68/451,980.72
  6. Step 6: Final answer
    x = 278,330.03

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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.