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Finding the Fourth Proportional to 463,817.80, 694,920.30 and 213,987.40

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Solution

The fourth proportional to 463,817.80, 694,920.30 and 213,987.40 is: 320,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,817.80 : 694,920.30 = 213,987.40 : x
  2. Step 2: Convert to fraction form
    463,817.80/694,920.30 = 213,987.40/x
  3. Step 3: Cross multiply
    463,817.80x = 694,920.30 × 213,987.40
  4. Step 4: Simplify right side
    463,817.80x = 148,704,188,204.22
  5. Step 5: Solve for x
    x = 148,704,188,204.22/463,817.80
  6. Step 6: Final answer
    x = 320,609.06

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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.