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Finding the Fourth Proportional to 345,680.56, 477,043.40 and 200,519.96

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Solution

The fourth proportional to 345,680.56, 477,043.40 and 200,519.96 is: 276,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,680.56 : 477,043.40 = 200,519.96 : x
  2. Step 2: Convert to fraction form
    345,680.56/477,043.40 = 200,519.96/x
  3. Step 3: Cross multiply
    345,680.56x = 477,043.40 × 200,519.96
  4. Step 4: Simplify right side
    345,680.56x = 95,656,721,038.38
  5. Step 5: Solve for x
    x = 95,656,721,038.38/345,680.56
  6. Step 6: Final answer
    x = 276,719.99

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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.