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Finding the Fourth Proportional to 492,993.76, 739,509.20 and 137,998.68

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Solution

The fourth proportional to 492,993.76, 739,509.20 and 137,998.68 is: 207,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,993.76 : 739,509.20 = 137,998.68 : x
  2. Step 2: Convert to fraction form
    492,993.76/739,509.20 = 137,998.68/x
  3. Step 3: Cross multiply
    492,993.76x = 739,509.20 × 137,998.68
  4. Step 4: Simplify right side
    492,993.76x = 102,051,293,447.86
  5. Step 5: Solve for x
    x = 102,051,293,447.86/492,993.76
  6. Step 6: Final answer
    x = 207,003.22

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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.