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Finding the Fourth Proportional to 343,699.98, 515,383.31 and 201,591.68

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Solution

The fourth proportional to 343,699.98, 515,383.31 and 201,591.68 is: 302,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,699.98 : 515,383.31 = 201,591.68 : x
  2. Step 2: Convert to fraction form
    343,699.98/515,383.31 = 201,591.68/x
  3. Step 3: Cross multiply
    343,699.98x = 515,383.31 × 201,591.68
  4. Step 4: Simplify right side
    343,699.98x = 103,896,983,721.99
  5. Step 5: Solve for x
    x = 103,896,983,721.99/343,699.98
  6. Step 6: Final answer
    x = 302,289.76

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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.