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Finding the Fourth Proportional to 345,551.72, 476,862.66 and 200,385.80

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Solution

The fourth proportional to 345,551.72, 476,862.66 and 200,385.80 is: 276,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,551.72 : 476,862.66 = 200,385.80 : x
  2. Step 2: Convert to fraction form
    345,551.72/476,862.66 = 200,385.80/x
  3. Step 3: Cross multiply
    345,551.72x = 476,862.66 × 200,385.80
  4. Step 4: Simplify right side
    345,551.72x = 95,556,505,614.23
  5. Step 5: Solve for x
    x = 95,556,505,614.23/345,551.72
  6. Step 6: Final answer
    x = 276,533.15

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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.