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Finding the Fourth Proportional to 612,770.24, 919,180.08 and 213,451.40

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Solution

The fourth proportional to 612,770.24, 919,180.08 and 213,451.40 is: 320,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,770.24 : 919,180.08 = 213,451.40 : x
  2. Step 2: Convert to fraction form
    612,770.24/919,180.08 = 213,451.40/x
  3. Step 3: Cross multiply
    612,770.24x = 919,180.08 × 213,451.40
  4. Step 4: Simplify right side
    612,770.24x = 196,200,270,332.21
  5. Step 5: Solve for x
    x = 196,200,270,332.21/612,770.24
  6. Step 6: Final answer
    x = 320,185.71

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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.