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Finding the Fourth Proportional to 685,338, 945,635.22 and 443,587.02

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Solution

The fourth proportional to 685,338, 945,635.22 and 443,587.02 is: 612,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,338 : 945,635.22 = 443,587.02 : x
  2. Step 2: Convert to fraction form
    685,338/945,635.22 = 443,587.02/x
  3. Step 3: Cross multiply
    685,338x = 945,635.22 × 443,587.02
  4. Step 4: Simplify right side
    685,338x = 419,471,509,246.84
  5. Step 5: Solve for x
    x = 419,471,509,246.84/685,338
  6. Step 6: Final answer
    x = 612,065.16

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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.