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Finding the Fourth Proportional to 517,882.15, 775,511.03 and 412,906.15

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Solution

The fourth proportional to 517,882.15, 775,511.03 and 412,906.15 is: 618,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,882.15 : 775,511.03 = 412,906.15 : x
  2. Step 2: Convert to fraction form
    517,882.15/775,511.03 = 412,906.15/x
  3. Step 3: Cross multiply
    517,882.15x = 775,511.03 × 412,906.15
  4. Step 4: Simplify right side
    517,882.15x = 320,213,271,615.30
  5. Step 5: Solve for x
    x = 320,213,271,615.30/517,882.15
  6. Step 6: Final answer
    x = 618,313.01

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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.