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Finding the Fourth Proportional to 512,277.36, 706,914 and 285,937.44

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Solution

The fourth proportional to 512,277.36, 706,914 and 285,937.44 is: 394,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,277.36 : 706,914 = 285,937.44 : x
  2. Step 2: Convert to fraction form
    512,277.36/706,914 = 285,937.44/x
  3. Step 3: Cross multiply
    512,277.36x = 706,914 × 285,937.44
  4. Step 4: Simplify right side
    512,277.36x = 202,133,179,460.16
  5. Step 5: Solve for x
    x = 202,133,179,460.16/512,277.36
  6. Step 6: Final answer
    x = 394,577.62

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1.5x scale

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.