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Finding the Fourth Proportional to 345,457.53, 476,732.36 and 200,291.46

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Solution

The fourth proportional to 345,457.53, 476,732.36 and 200,291.46 is: 276,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,457.53 : 476,732.36 = 200,291.46 : x
  2. Step 2: Convert to fraction form
    345,457.53/476,732.36 = 200,291.46/x
  3. Step 3: Cross multiply
    345,457.53x = 476,732.36 × 200,291.46
  4. Step 4: Simplify right side
    345,457.53x = 95,485,419,412.19
  5. Step 5: Solve for x
    x = 95,485,419,412.19/345,457.53
  6. Step 6: Final answer
    x = 276,402.77

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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.