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Finding the Fourth Proportional to 422,893.80, 634,448.70 and 298,477.80

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Solution

The fourth proportional to 422,893.80, 634,448.70 and 298,477.80 is: 447,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,893.80 : 634,448.70 = 298,477.80 : x
  2. Step 2: Convert to fraction form
    422,893.80/634,448.70 = 298,477.80/x
  3. Step 3: Cross multiply
    422,893.80x = 634,448.70 × 298,477.80
  4. Step 4: Simplify right side
    422,893.80x = 189,368,852,188.86
  5. Step 5: Solve for x
    x = 189,368,852,188.86/422,893.80
  6. Step 6: Final answer
    x = 447,792.93

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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.