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Finding the Fourth Proportional to 301,355.28, 415,927.62 and 199,382.76

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Solution

The fourth proportional to 301,355.28, 415,927.62 and 199,382.76 is: 275,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,355.28 : 415,927.62 = 199,382.76 : x
  2. Step 2: Convert to fraction form
    301,355.28/415,927.62 = 199,382.76/x
  3. Step 3: Cross multiply
    301,355.28x = 415,927.62 × 199,382.76
  4. Step 4: Simplify right side
    301,355.28x = 82,928,796,835.83
  5. Step 5: Solve for x
    x = 82,928,796,835.83/301,355.28
  6. Step 6: Final answer
    x = 275,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.