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Finding the Fourth Proportional to 521,908.72, 782,858.92 and 310,144.24

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Solution

The fourth proportional to 521,908.72, 782,858.92 and 310,144.24 is: 465,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,908.72 : 782,858.92 = 310,144.24 : x
  2. Step 2: Convert to fraction form
    521,908.72/782,858.92 = 310,144.24/x
  3. Step 3: Cross multiply
    521,908.72x = 782,858.92 × 310,144.24
  4. Step 4: Simplify right side
    521,908.72x = 242,799,184,770.62
  5. Step 5: Solve for x
    x = 242,799,184,770.62/521,908.72
  6. Step 6: Final answer
    x = 465,213.89

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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.