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Finding the Fourth Proportional to 512,398.20, 768,606.41 and 157,415.30

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Solution

The fourth proportional to 512,398.20, 768,606.41 and 157,415.30 is: 236,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,398.20 : 768,606.41 = 157,415.30 : x
  2. Step 2: Convert to fraction form
    512,398.20/768,606.41 = 157,415.30/x
  3. Step 3: Cross multiply
    512,398.20x = 768,606.41 × 157,415.30
  4. Step 4: Simplify right side
    512,398.20x = 120,990,404,769.04
  5. Step 5: Solve for x
    x = 120,990,404,769.04/512,398.20
  6. Step 6: Final answer
    x = 236,125.74

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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.