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Finding the Fourth Proportional to 389,767.94, 537,879.79 and 220,013

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Solution

The fourth proportional to 389,767.94, 537,879.79 and 220,013 is: 303,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,767.94 : 537,879.79 = 220,013 : x
  2. Step 2: Convert to fraction form
    389,767.94/537,879.79 = 220,013/x
  3. Step 3: Cross multiply
    389,767.94x = 537,879.79 × 220,013
  4. Step 4: Simplify right side
    389,767.94x = 118,340,546,237.27
  5. Step 5: Solve for x
    x = 118,340,546,237.27/389,767.94
  6. Step 6: Final answer
    x = 303,617.96

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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.