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Finding the Fourth Proportional to 422,765.16, 634,140.43 and 142,282.41

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Solution

The fourth proportional to 422,765.16, 634,140.43 and 142,282.41 is: 213,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,765.16 : 634,140.43 = 142,282.41 : x
  2. Step 2: Convert to fraction form
    422,765.16/634,140.43 = 142,282.41/x
  3. Step 3: Cross multiply
    422,765.16x = 634,140.43 × 142,282.41
  4. Step 4: Simplify right side
    422,765.16x = 90,227,028,658.84
  5. Step 5: Solve for x
    x = 90,227,028,658.84/422,765.16
  6. Step 6: Final answer
    x = 213,421.15

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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.