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Finding the Fourth Proportional to 456,992.34, 685,628.64 and 204,485.40

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Solution

The fourth proportional to 456,992.34, 685,628.64 and 204,485.40 is: 306,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,992.34 : 685,628.64 = 204,485.40 : x
  2. Step 2: Convert to fraction form
    456,992.34/685,628.64 = 204,485.40/x
  3. Step 3: Cross multiply
    456,992.34x = 685,628.64 × 204,485.40
  4. Step 4: Simplify right side
    456,992.34x = 140,201,046,701.86
  5. Step 5: Solve for x
    x = 140,201,046,701.86/456,992.34
  6. Step 6: Final answer
    x = 306,790.80

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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.