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Finding the Fourth Proportional to 463,813.80, 694,914.30 and 213,983.40

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Solution

The fourth proportional to 463,813.80, 694,914.30 and 213,983.40 is: 320,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,813.80 : 694,914.30 = 213,983.40 : x
  2. Step 2: Convert to fraction form
    463,813.80/694,914.30 = 213,983.40/x
  3. Step 3: Cross multiply
    463,813.80x = 694,914.30 × 213,983.40
  4. Step 4: Simplify right side
    463,813.80x = 148,700,124,622.62
  5. Step 5: Solve for x
    x = 148,700,124,622.62/463,813.80
  6. Step 6: Final answer
    x = 320,603.06

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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.