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Finding the Fourth Proportional to 512,290.64, 706,895.88 and 285,945.68

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Solution

The fourth proportional to 512,290.64, 706,895.88 and 285,945.68 is: 394,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,290.64 : 706,895.88 = 285,945.68 : x
  2. Step 2: Convert to fraction form
    512,290.64/706,895.88 = 285,945.68/x
  3. Step 3: Cross multiply
    512,290.64x = 706,895.88 × 285,945.68
  4. Step 4: Simplify right side
    512,290.64x = 202,133,823,095.80
  5. Step 5: Solve for x
    x = 202,133,823,095.80/512,290.64
  6. Step 6: Final answer
    x = 394,568.64

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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.