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Finding the Fourth Proportional to 422,765.66, 634,141.17 and 142,282.91

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Solution

The fourth proportional to 422,765.66, 634,141.17 and 142,282.91 is: 213,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,765.66 : 634,141.17 = 142,282.91 : x
  2. Step 2: Convert to fraction form
    422,765.66/634,141.17 = 142,282.91/x
  3. Step 3: Cross multiply
    422,765.66x = 634,141.17 × 142,282.91
  4. Step 4: Simplify right side
    422,765.66x = 90,227,451,018.40
  5. Step 5: Solve for x
    x = 90,227,451,018.40/422,765.66
  6. Step 6: Final answer
    x = 213,421.90

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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.