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Finding the Fourth Proportional to 422,815.40, 634,218.78 and 142,330.76

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Solution

The fourth proportional to 422,815.40, 634,218.78 and 142,330.76 is: 213,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,815.40 : 634,218.78 = 142,330.76 : x
  2. Step 2: Convert to fraction form
    422,815.40/634,218.78 = 142,330.76/x
  3. Step 3: Cross multiply
    422,815.40x = 634,218.78 × 142,330.76
  4. Step 4: Simplify right side
    422,815.40x = 90,268,840,963.67
  5. Step 5: Solve for x
    x = 90,268,840,963.67/422,815.40
  6. Step 6: Final answer
    x = 213,494.69

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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.