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Finding the Fourth Proportional to 427,991.87, 642,267.89 and 161,752.41

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Solution

The fourth proportional to 427,991.87, 642,267.89 and 161,752.41 is: 242,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,991.87 : 642,267.89 = 161,752.41 : x
  2. Step 2: Convert to fraction form
    427,991.87/642,267.89 = 161,752.41/x
  3. Step 3: Cross multiply
    427,991.87x = 642,267.89 × 161,752.41
  4. Step 4: Simplify right side
    427,991.87x = 103,888,379,477.50
  5. Step 5: Solve for x
    x = 103,888,379,477.50/427,991.87
  6. Step 6: Final answer
    x = 242,734.47

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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.