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Finding the Fourth Proportional to 345,527.72, 476,809.86 and 194,615

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Solution

The fourth proportional to 345,527.72, 476,809.86 and 194,615 is: 268,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,527.72 : 476,809.86 = 194,615 : x
  2. Step 2: Convert to fraction form
    345,527.72/476,809.86 = 194,615/x
  3. Step 3: Cross multiply
    345,527.72x = 476,809.86 × 194,615
  4. Step 4: Simplify right side
    345,527.72x = 92,794,350,903.90
  5. Step 5: Solve for x
    x = 92,794,350,903.90/345,527.72
  6. Step 6: Final answer
    x = 268,558.34

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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.