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Finding the Fourth Proportional to 422,756.76, 634,200.72 and 142,252.12

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Solution

The fourth proportional to 422,756.76, 634,200.72 and 142,252.12 is: 213,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,756.76 : 634,200.72 = 142,252.12 : x
  2. Step 2: Convert to fraction form
    422,756.76/634,200.72 = 142,252.12/x
  3. Step 3: Cross multiply
    422,756.76x = 634,200.72 × 142,252.12
  4. Step 4: Simplify right side
    422,756.76x = 90,216,396,925.53
  5. Step 5: Solve for x
    x = 90,216,396,925.53/422,756.76
  6. Step 6: Final answer
    x = 213,400.25

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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.