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Finding the Fourth Proportional to 338,970.68, 508,485.57 and 111,198

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Solution

The fourth proportional to 338,970.68, 508,485.57 and 111,198 is: 166,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,970.68 : 508,485.57 = 111,198 : x
  2. Step 2: Convert to fraction form
    338,970.68/508,485.57 = 111,198/x
  3. Step 3: Cross multiply
    338,970.68x = 508,485.57 × 111,198
  4. Step 4: Simplify right side
    338,970.68x = 56,542,578,412.86
  5. Step 5: Solve for x
    x = 56,542,578,412.86/338,970.68
  6. Step 6: Final answer
    x = 166,806.70

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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.