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Finding the Fourth Proportional to 410,102.57, 565,297.04 and 280,817.55

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Solution

The fourth proportional to 410,102.57, 565,297.04 and 280,817.55 is: 387,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,102.57 : 565,297.04 = 280,817.55 : x
  2. Step 2: Convert to fraction form
    410,102.57/565,297.04 = 280,817.55/x
  3. Step 3: Cross multiply
    410,102.57x = 565,297.04 × 280,817.55
  4. Step 4: Simplify right side
    410,102.57x = 158,745,329,604.69
  5. Step 5: Solve for x
    x = 158,745,329,604.69/410,102.57
  6. Step 6: Final answer
    x = 387,086.90

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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.