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Finding the Fourth Proportional to 347,349.26, 520,751.73 and 137,144.54

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Solution

The fourth proportional to 347,349.26, 520,751.73 and 137,144.54 is: 205,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,349.26 : 520,751.73 = 137,144.54 : x
  2. Step 2: Convert to fraction form
    347,349.26/520,751.73 = 137,144.54/x
  3. Step 3: Cross multiply
    347,349.26x = 520,751.73 × 137,144.54
  4. Step 4: Simplify right side
    347,349.26x = 71,418,258,281.23
  5. Step 5: Solve for x
    x = 71,418,258,281.23/347,349.26
  6. Step 6: Final answer
    x = 205,609.36

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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.