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Finding the Fourth Proportional to 512,835.28, 768,208.44 and 418,402

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Solution

The fourth proportional to 512,835.28, 768,208.44 and 418,402 is: 626,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,835.28 : 768,208.44 = 418,402 : x
  2. Step 2: Convert to fraction form
    512,835.28/768,208.44 = 418,402/x
  3. Step 3: Cross multiply
    512,835.28x = 768,208.44 × 418,402
  4. Step 4: Simplify right side
    512,835.28x = 321,419,947,712.88
  5. Step 5: Solve for x
    x = 321,419,947,712.88/512,835.28
  6. Step 6: Final answer
    x = 626,750.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.