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Finding the Fourth Proportional to 347,138.67, 520,708.01 and 329,409.39

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Solution

The fourth proportional to 347,138.67, 520,708.01 and 329,409.39 is: 494,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,138.67 : 520,708.01 = 329,409.39 : x
  2. Step 2: Convert to fraction form
    347,138.67/520,708.01 = 329,409.39/x
  3. Step 3: Cross multiply
    347,138.67x = 520,708.01 × 329,409.39
  4. Step 4: Simplify right side
    347,138.67x = 171,526,106,295.17
  5. Step 5: Solve for x
    x = 171,526,106,295.17/347,138.67
  6. Step 6: Final answer
    x = 494,114.09

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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.