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Finding the Fourth Proportional to 512,028.96, 706,602 and 285,684

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Solution

The fourth proportional to 512,028.96, 706,602 and 285,684 is: 394,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,028.96 : 706,602 = 285,684 : x
  2. Step 2: Convert to fraction form
    512,028.96/706,602 = 285,684/x
  3. Step 3: Cross multiply
    512,028.96x = 706,602 × 285,684
  4. Step 4: Simplify right side
    512,028.96x = 201,864,885,768
  5. Step 5: Solve for x
    x = 201,864,885,768/512,028.96
  6. Step 6: Final answer
    x = 394,245.06

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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.