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Finding the Fourth Proportional to 338,738.27, 508,107.60 and 86,037.71

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Solution

The fourth proportional to 338,738.27, 508,107.60 and 86,037.71 is: 129,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,738.27 : 508,107.60 = 86,037.71 : x
  2. Step 2: Convert to fraction form
    338,738.27/508,107.60 = 86,037.71/x
  3. Step 3: Cross multiply
    338,738.27x = 508,107.60 × 86,037.71
  4. Step 4: Simplify right side
    338,738.27x = 43,716,415,930.51
  5. Step 5: Solve for x
    x = 43,716,415,930.51/338,738.27
  6. Step 6: Final answer
    x = 129,056.62

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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.