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Finding the Fourth Proportional to 512,135.64, 706,676.94 and 285,737.40

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Solution

The fourth proportional to 512,135.64, 706,676.94 and 285,737.40 is: 394,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,135.64 : 706,676.94 = 285,737.40 : x
  2. Step 2: Convert to fraction form
    512,135.64/706,676.94 = 285,737.40/x
  3. Step 3: Cross multiply
    512,135.64x = 706,676.94 × 285,737.40
  4. Step 4: Simplify right side
    512,135.64x = 201,924,031,475.56
  5. Step 5: Solve for x
    x = 201,924,031,475.56/512,135.64
  6. Step 6: Final answer
    x = 394,278.42

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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.