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Finding the Fourth Proportional to 512,523.88, 768,859.34 and 157,567.70

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Solution

The fourth proportional to 512,523.88, 768,859.34 and 157,567.70 is: 236,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,523.88 : 768,859.34 = 157,567.70 : x
  2. Step 2: Convert to fraction form
    512,523.88/768,859.34 = 157,567.70/x
  3. Step 3: Cross multiply
    512,523.88x = 768,859.34 × 157,567.70
  4. Step 4: Simplify right side
    512,523.88x = 121,147,398,961.63
  5. Step 5: Solve for x
    x = 121,147,398,961.63/512,523.88
  6. Step 6: Final answer
    x = 236,374.16

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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.