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Finding the Fourth Proportional to 422,958.80, 633,271.80 and 329,646.80

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Solution

The fourth proportional to 422,958.80, 633,271.80 and 329,646.80 is: 493,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,958.80 : 633,271.80 = 329,646.80 : x
  2. Step 2: Convert to fraction form
    422,958.80/633,271.80 = 329,646.80/x
  3. Step 3: Cross multiply
    422,958.80x = 633,271.80 × 329,646.80
  4. Step 4: Simplify right side
    422,958.80x = 208,756,022,400.24
  5. Step 5: Solve for x
    x = 208,756,022,400.24/422,958.80
  6. Step 6: Final answer
    x = 493,561.13

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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.