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Finding the Fourth Proportional to 345,933.63, 477,400.27 and 200,728.48

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Solution

The fourth proportional to 345,933.63, 477,400.27 and 200,728.48 is: 277,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,933.63 : 477,400.27 = 200,728.48 : x
  2. Step 2: Convert to fraction form
    345,933.63/477,400.27 = 200,728.48/x
  3. Step 3: Cross multiply
    345,933.63x = 477,400.27 × 200,728.48
  4. Step 4: Simplify right side
    345,933.63x = 95,827,827,880.25
  5. Step 5: Solve for x
    x = 95,827,827,880.25/345,933.63
  6. Step 6: Final answer
    x = 277,012.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.