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Finding the Fourth Proportional to 305,494.56, 458,011.44 and 200,340

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Solution

The fourth proportional to 305,494.56, 458,011.44 and 200,340 is: 300,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,494.56 : 458,011.44 = 200,340 : x
  2. Step 2: Convert to fraction form
    305,494.56/458,011.44 = 200,340/x
  3. Step 3: Cross multiply
    305,494.56x = 458,011.44 × 200,340
  4. Step 4: Simplify right side
    305,494.56x = 91,758,011,889.60
  5. Step 5: Solve for x
    x = 91,758,011,889.60/305,494.56
  6. Step 6: Final answer
    x = 300,358.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.