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Finding the Fourth Proportional to 512,132.64, 706,672.80 and 285,734.40

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Solution

The fourth proportional to 512,132.64, 706,672.80 and 285,734.40 is: 394,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,132.64 : 706,672.80 = 285,734.40 : x
  2. Step 2: Convert to fraction form
    512,132.64/706,672.80 = 285,734.40/x
  3. Step 3: Cross multiply
    512,132.64x = 706,672.80 × 285,734.40
  4. Step 4: Simplify right side
    512,132.64x = 201,920,728,504.32
  5. Step 5: Solve for x
    x = 201,920,728,504.32/512,132.64
  6. Step 6: Final answer
    x = 394,274.28

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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.