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Finding the Fourth Proportional to 513,906.56, 709,173.27 and 284,473.86

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Solution

The fourth proportional to 513,906.56, 709,173.27 and 284,473.86 is: 392,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,906.56 : 709,173.27 = 284,473.86 : x
  2. Step 2: Convert to fraction form
    513,906.56/709,173.27 = 284,473.86/x
  3. Step 3: Cross multiply
    513,906.56x = 709,173.27 × 284,473.86
  4. Step 4: Simplify right side
    513,906.56x = 201,741,257,525.72
  5. Step 5: Solve for x
    x = 201,741,257,525.72/513,906.56
  6. Step 6: Final answer
    x = 392,564.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.