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Finding the Fourth Proportional to 410,104.56, 565,299.80 and 280,819.54

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Solution

The fourth proportional to 410,104.56, 565,299.80 and 280,819.54 is: 387,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,104.56 : 565,299.80 = 280,819.54 : x
  2. Step 2: Convert to fraction form
    410,104.56/565,299.80 = 280,819.54/x
  3. Step 3: Cross multiply
    410,104.56x = 565,299.80 × 280,819.54
  4. Step 4: Simplify right side
    410,104.56x = 158,747,229,798.09
  5. Step 5: Solve for x
    x = 158,747,229,798.09/410,104.56
  6. Step 6: Final answer
    x = 387,089.65

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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.