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Finding the Fourth Proportional to 512,162.84, 706,785.30 and 285,808.28

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Solution

The fourth proportional to 512,162.84, 706,785.30 and 285,808.28 is: 394,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,162.84 : 706,785.30 = 285,808.28 : x
  2. Step 2: Convert to fraction form
    512,162.84/706,785.30 = 285,808.28/x
  3. Step 3: Cross multiply
    512,162.84x = 706,785.30 × 285,808.28
  4. Step 4: Simplify right side
    512,162.84x = 202,005,090,922.28
  5. Step 5: Solve for x
    x = 202,005,090,922.28/512,162.84
  6. Step 6: Final answer
    x = 394,415.75

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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.