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Finding the Fourth Proportional to 645,124.76, 967,313.52 and 218,517.60

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Solution

The fourth proportional to 645,124.76, 967,313.52 and 218,517.60 is: 327,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,124.76 : 967,313.52 = 218,517.60 : x
  2. Step 2: Convert to fraction form
    645,124.76/967,313.52 = 218,517.60/x
  3. Step 3: Cross multiply
    645,124.76x = 967,313.52 × 218,517.60
  4. Step 4: Simplify right side
    645,124.76x = 211,375,028,837.95
  5. Step 5: Solve for x
    x = 211,375,028,837.95/645,124.76
  6. Step 6: Final answer
    x = 327,649.85

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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.