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Finding the Fourth Proportional to 486,383.64, 729,610.32 and 186,864.24

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Solution

The fourth proportional to 486,383.64, 729,610.32 and 186,864.24 is: 280,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,383.64 : 729,610.32 = 186,864.24 : x
  2. Step 2: Convert to fraction form
    486,383.64/729,610.32 = 186,864.24/x
  3. Step 3: Cross multiply
    486,383.64x = 729,610.32 × 186,864.24
  4. Step 4: Simplify right side
    486,383.64x = 136,338,077,942.96
  5. Step 5: Solve for x
    x = 136,338,077,942.96/486,383.64
  6. Step 6: Final answer
    x = 280,309.75

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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.