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Finding the Fourth Proportional to 338,855.46, 508,286.83 and 102,200.19

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Solution

The fourth proportional to 338,855.46, 508,286.83 and 102,200.19 is: 153,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,855.46 : 508,286.83 = 102,200.19 : x
  2. Step 2: Convert to fraction form
    338,855.46/508,286.83 = 102,200.19/x
  3. Step 3: Cross multiply
    338,855.46x = 508,286.83 × 102,200.19
  4. Step 4: Simplify right side
    338,855.46x = 51,947,010,600.50
  5. Step 5: Solve for x
    x = 51,947,010,600.50/338,855.46
  6. Step 6: Final answer
    x = 153,301.38

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1.5x scale

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.