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Finding the Fourth Proportional to 513,247.36, 769,650.96 and 176,321.92

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Solution

The fourth proportional to 513,247.36, 769,650.96 and 176,321.92 is: 264,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,247.36 : 769,650.96 = 176,321.92 : x
  2. Step 2: Convert to fraction form
    513,247.36/769,650.96 = 176,321.92/x
  3. Step 3: Cross multiply
    513,247.36x = 769,650.96 × 176,321.92
  4. Step 4: Simplify right side
    513,247.36x = 135,706,334,997.04
  5. Step 5: Solve for x
    x = 135,706,334,997.04/513,247.36
  6. Step 6: Final answer
    x = 264,407.27

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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.