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Finding the Fourth Proportional to 643,958.40, 966,859.20 and 364,022.40

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Solution

The fourth proportional to 643,958.40, 966,859.20 and 364,022.40 is: 546,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,958.40 : 966,859.20 = 364,022.40 : x
  2. Step 2: Convert to fraction form
    643,958.40/966,859.20 = 364,022.40/x
  3. Step 3: Cross multiply
    643,958.40x = 966,859.20 × 364,022.40
  4. Step 4: Simplify right side
    643,958.40x = 351,958,406,446.08
  5. Step 5: Solve for x
    x = 351,958,406,446.08/643,958.40
  6. Step 6: Final answer
    x = 546,554.57

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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.