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Finding the Fourth Proportional to 512,824.61, 769,462.10 and 272,881.96

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Solution

The fourth proportional to 512,824.61, 769,462.10 and 272,881.96 is: 409,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,824.61 : 769,462.10 = 272,881.96 : x
  2. Step 2: Convert to fraction form
    512,824.61/769,462.10 = 272,881.96/x
  3. Step 3: Cross multiply
    512,824.61x = 769,462.10 × 272,881.96
  4. Step 4: Simplify right side
    512,824.61x = 209,972,325,993.72
  5. Step 5: Solve for x
    x = 209,972,325,993.72/512,824.61
  6. Step 6: Final answer
    x = 409,442.76

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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.