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Finding the Fourth Proportional to 422,764.16, 634,138.93 and 142,281.41

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Solution

The fourth proportional to 422,764.16, 634,138.93 and 142,281.41 is: 213,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.16 : 634,138.93 = 142,281.41 : x
  2. Step 2: Convert to fraction form
    422,764.16/634,138.93 = 142,281.41/x
  3. Step 3: Cross multiply
    422,764.16x = 634,138.93 × 142,281.41
  4. Step 4: Simplify right side
    422,764.16x = 90,226,180,870.15
  5. Step 5: Solve for x
    x = 90,226,180,870.15/422,764.16
  6. Step 6: Final answer
    x = 213,419.65

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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.