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Finding the Fourth Proportional to 422,904.80, 634,465.20 and 298,488.80

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Solution

The fourth proportional to 422,904.80, 634,465.20 and 298,488.80 is: 447,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.80 : 634,465.20 = 298,488.80 : x
  2. Step 2: Convert to fraction form
    422,904.80/634,465.20 = 298,488.80/x
  3. Step 3: Cross multiply
    422,904.80x = 634,465.20 × 298,488.80
  4. Step 4: Simplify right side
    422,904.80x = 189,380,756,189.76
  5. Step 5: Solve for x
    x = 189,380,756,189.76/422,904.80
  6. Step 6: Final answer
    x = 447,809.43

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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.