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Finding the Fourth Proportional to 358,438.77, 494,534.16 and 203,364.41

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Solution

The fourth proportional to 358,438.77, 494,534.16 and 203,364.41 is: 280,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,438.77 : 494,534.16 = 203,364.41 : x
  2. Step 2: Convert to fraction form
    358,438.77/494,534.16 = 203,364.41/x
  3. Step 3: Cross multiply
    358,438.77x = 494,534.16 × 203,364.41
  4. Step 4: Simplify right side
    358,438.77x = 100,570,645,200.58
  5. Step 5: Solve for x
    x = 100,570,645,200.58/358,438.77
  6. Step 6: Final answer
    x = 280,579.71

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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.