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Finding the Fourth Proportional to 345,236.68, 476,358.42 and 218,086.60

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Solution

The fourth proportional to 345,236.68, 476,358.42 and 218,086.60 is: 300,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,236.68 : 476,358.42 = 218,086.60 : x
  2. Step 2: Convert to fraction form
    345,236.68/476,358.42 = 218,086.60/x
  3. Step 3: Cross multiply
    345,236.68x = 476,358.42 × 218,086.60
  4. Step 4: Simplify right side
    345,236.68x = 103,887,388,199.17
  5. Step 5: Solve for x
    x = 103,887,388,199.17/345,236.68
  6. Step 6: Final answer
    x = 300,916.43

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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.