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Finding the Fourth Proportional to 685,102.76, 1,026,324.22 and 504,861

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Solution

The fourth proportional to 685,102.76, 1,026,324.22 and 504,861 is: 756,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,102.76 : 1,026,324.22 = 504,861 : x
  2. Step 2: Convert to fraction form
    685,102.76/1,026,324.22 = 504,861/x
  3. Step 3: Cross multiply
    685,102.76x = 1,026,324.22 × 504,861
  4. Step 4: Simplify right side
    685,102.76x = 518,151,072,033.42
  5. Step 5: Solve for x
    x = 518,151,072,033.42/685,102.76
  6. Step 6: Final answer
    x = 756,311.46

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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.