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Finding the Fourth Proportional to 347,103.88, 520,667.27 and 119,397.21

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Solution

The fourth proportional to 347,103.88, 520,667.27 and 119,397.21 is: 179,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,103.88 : 520,667.27 = 119,397.21 : x
  2. Step 2: Convert to fraction form
    347,103.88/520,667.27 = 119,397.21/x
  3. Step 3: Cross multiply
    347,103.88x = 520,667.27 × 119,397.21
  4. Step 4: Simplify right side
    347,103.88x = 62,166,217,274.57
  5. Step 5: Solve for x
    x = 62,166,217,274.57/347,103.88
  6. Step 6: Final answer
    x = 179,099.75

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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.