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Finding the Fourth Proportional to 422,720.78, 634,146.84 and 142,216.16

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Solution

The fourth proportional to 422,720.78, 634,146.84 and 142,216.16 is: 213,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,720.78 : 634,146.84 = 142,216.16 : x
  2. Step 2: Convert to fraction form
    422,720.78/634,146.84 = 142,216.16/x
  3. Step 3: Cross multiply
    422,720.78x = 634,146.84 × 142,216.16
  4. Step 4: Simplify right side
    422,720.78x = 90,185,925,290.20
  5. Step 5: Solve for x
    x = 90,185,925,290.20/422,720.78
  6. Step 6: Final answer
    x = 213,346.33

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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.