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Finding the Fourth Proportional to 645,188.24, 967,065.24 and 486,903.44

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Solution

The fourth proportional to 645,188.24, 967,065.24 and 486,903.44 is: 729,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,188.24 : 967,065.24 = 486,903.44 : x
  2. Step 2: Convert to fraction form
    645,188.24/967,065.24 = 486,903.44/x
  3. Step 3: Cross multiply
    645,188.24x = 967,065.24 × 486,903.44
  4. Step 4: Simplify right side
    645,188.24x = 470,867,392,060.43
  5. Step 5: Solve for x
    x = 470,867,392,060.43/645,188.24
  6. Step 6: Final answer
    x = 729,813.97

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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.