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Finding the Fourth Proportional to 510,047.42, 703,865.44 and 280,599.78

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Solution

The fourth proportional to 510,047.42, 703,865.44 and 280,599.78 is: 387,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,047.42 : 703,865.44 = 280,599.78 : x
  2. Step 2: Convert to fraction form
    510,047.42/703,865.44 = 280,599.78/x
  3. Step 3: Cross multiply
    510,047.42x = 703,865.44 × 280,599.78
  4. Step 4: Simplify right side
    510,047.42x = 197,504,486,912.10
  5. Step 5: Solve for x
    x = 197,504,486,912.10/510,047.42
  6. Step 6: Final answer
    x = 387,227.69

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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.