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Finding the Fourth Proportional to 347,716.32, 521,749.44 and 259,147.68

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Solution

The fourth proportional to 347,716.32, 521,749.44 and 259,147.68 is: 388,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,716.32 : 521,749.44 = 259,147.68 : x
  2. Step 2: Convert to fraction form
    347,716.32/521,749.44 = 259,147.68/x
  3. Step 3: Cross multiply
    347,716.32x = 521,749.44 × 259,147.68
  4. Step 4: Simplify right side
    347,716.32x = 135,210,156,917.30
  5. Step 5: Solve for x
    x = 135,210,156,917.30/347,716.32
  6. Step 6: Final answer
    x = 388,851.92

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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.