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Finding the Fourth Proportional to 422,794.88, 634,257.84 and 142,290.24

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Solution

The fourth proportional to 422,794.88, 634,257.84 and 142,290.24 is: 213,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794.88 : 634,257.84 = 142,290.24 : x
  2. Step 2: Convert to fraction form
    422,794.88/634,257.84 = 142,290.24/x
  3. Step 3: Cross multiply
    422,794.88x = 634,257.84 × 142,290.24
  4. Step 4: Simplify right side
    422,794.88x = 90,248,700,275.48
  5. Step 5: Solve for x
    x = 90,248,700,275.48/422,794.88
  6. Step 6: Final answer
    x = 213,457.41

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1.5x scale

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.