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Finding the Fourth Proportional to 493,015.81, 739,449.36 and 156,012.70

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Solution

The fourth proportional to 493,015.81, 739,449.36 and 156,012.70 is: 233,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,015.81 : 739,449.36 = 156,012.70 : x
  2. Step 2: Convert to fraction form
    493,015.81/739,449.36 = 156,012.70/x
  3. Step 3: Cross multiply
    493,015.81x = 739,449.36 × 156,012.70
  4. Step 4: Simplify right side
    493,015.81x = 115,363,491,166.87
  5. Step 5: Solve for x
    x = 115,363,491,166.87/493,015.81
  6. Step 6: Final answer
    x = 233,995.52

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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.