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Finding the Fourth Proportional to 422,994.62, 634,535.68 and 142,533.74

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Solution

The fourth proportional to 422,994.62, 634,535.68 and 142,533.74 is: 213,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,994.62 : 634,535.68 = 142,533.74 : x
  2. Step 2: Convert to fraction form
    422,994.62/634,535.68 = 142,533.74/x
  3. Step 3: Cross multiply
    422,994.62x = 634,535.68 × 142,533.74
  4. Step 4: Simplify right side
    422,994.62x = 90,442,743,633.84
  5. Step 5: Solve for x
    x = 90,442,743,633.84/422,994.62
  6. Step 6: Final answer
    x = 213,815.35

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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.