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Finding the Fourth Proportional to 493,059.20, 739,028.21 and 208,572.21

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Solution

The fourth proportional to 493,059.20, 739,028.21 and 208,572.21 is: 312,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,059.20 : 739,028.21 = 208,572.21 : x
  2. Step 2: Convert to fraction form
    493,059.20/739,028.21 = 208,572.21/x
  3. Step 3: Cross multiply
    493,059.20x = 739,028.21 × 208,572.21
  4. Step 4: Simplify right side
    493,059.20x = 154,140,745,969.18
  5. Step 5: Solve for x
    x = 154,140,745,969.18/493,059.20
  6. Step 6: Final answer
    x = 312,621.18

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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.