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Finding the Fourth Proportional to 463,816.80, 694,918.80 and 213,986.40

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Solution

The fourth proportional to 463,816.80, 694,918.80 and 213,986.40 is: 320,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,816.80 : 694,918.80 = 213,986.40 : x
  2. Step 2: Convert to fraction form
    463,816.80/694,918.80 = 213,986.40/x
  3. Step 3: Cross multiply
    463,816.80x = 694,918.80 × 213,986.40
  4. Step 4: Simplify right side
    463,816.80x = 148,703,172,304.32
  5. Step 5: Solve for x
    x = 148,703,172,304.32/463,816.80
  6. Step 6: Final answer
    x = 320,607.56

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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.