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Finding the Fourth Proportional to 685,101.76, 1,026,322.72 and 504,860

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Solution

The fourth proportional to 685,101.76, 1,026,322.72 and 504,860 is: 756,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,101.76 : 1,026,322.72 = 504,860 : x
  2. Step 2: Convert to fraction form
    685,101.76/1,026,322.72 = 504,860/x
  3. Step 3: Cross multiply
    685,101.76x = 1,026,322.72 × 504,860
  4. Step 4: Simplify right side
    685,101.76x = 518,149,288,419.20
  5. Step 5: Solve for x
    x = 518,149,288,419.20/685,101.76
  6. Step 6: Final answer
    x = 756,309.97

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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.