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Finding the Fourth Proportional to 422,836.80, 634,158.14 and 252,106.81

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Solution

The fourth proportional to 422,836.80, 634,158.14 and 252,106.81 is: 378,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,836.80 : 634,158.14 = 252,106.81 : x
  2. Step 2: Convert to fraction form
    422,836.80/634,158.14 = 252,106.81/x
  3. Step 3: Cross multiply
    422,836.80x = 634,158.14 × 252,106.81
  4. Step 4: Simplify right side
    422,836.80x = 159,875,584,450.40
  5. Step 5: Solve for x
    x = 159,875,584,450.40/422,836.80
  6. Step 6: Final answer
    x = 378,102.35

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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.