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Finding the Fourth Proportional to 288,935.44, 432,928.88 and 277,861.92

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Solution

The fourth proportional to 288,935.44, 432,928.88 and 277,861.92 is: 416,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,935.44 : 432,928.88 = 277,861.92 : x
  2. Step 2: Convert to fraction form
    288,935.44/432,928.88 = 277,861.92/x
  3. Step 3: Cross multiply
    288,935.44x = 432,928.88 × 277,861.92
  4. Step 4: Simplify right side
    288,935.44x = 120,294,449,820.25
  5. Step 5: Solve for x
    x = 120,294,449,820.25/288,935.44
  6. Step 6: Final answer
    x = 416,336.78

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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.