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Finding the Fourth Proportional to 422,878.96, 634,160.40 and 170,074.12

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Solution

The fourth proportional to 422,878.96, 634,160.40 and 170,074.12 is: 255,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,878.96 : 634,160.40 = 170,074.12 : x
  2. Step 2: Convert to fraction form
    422,878.96/634,160.40 = 170,074.12/x
  3. Step 3: Cross multiply
    422,878.96x = 634,160.40 × 170,074.12
  4. Step 4: Simplify right side
    422,878.96x = 107,854,271,968.85
  5. Step 5: Solve for x
    x = 107,854,271,968.85/422,878.96
  6. Step 6: Final answer
    x = 255,047.62

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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.