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Finding the Fourth Proportional to 343,355.48, 515,097.82 and 138,205.81

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Solution

The fourth proportional to 343,355.48, 515,097.82 and 138,205.81 is: 207,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,355.48 : 515,097.82 = 138,205.81 : x
  2. Step 2: Convert to fraction form
    343,355.48/515,097.82 = 138,205.81/x
  3. Step 3: Cross multiply
    343,355.48x = 515,097.82 × 138,205.81
  4. Step 4: Simplify right side
    343,355.48x = 71,189,508,866.85
  5. Step 5: Solve for x
    x = 71,189,508,866.85/343,355.48
  6. Step 6: Final answer
    x = 207,334.71

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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.