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Finding the Fourth Proportional to 417,836.40, 626,855.40 and 137,338.80

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Solution

The fourth proportional to 417,836.40, 626,855.40 and 137,338.80 is: 206,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,836.40 : 626,855.40 = 137,338.80 : x
  2. Step 2: Convert to fraction form
    417,836.40/626,855.40 = 137,338.80/x
  3. Step 3: Cross multiply
    417,836.40x = 626,855.40 × 137,338.80
  4. Step 4: Simplify right side
    417,836.40x = 86,091,568,409.52
  5. Step 5: Solve for x
    x = 86,091,568,409.52/417,836.40
  6. Step 6: Final answer
    x = 206,041.33

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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.