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Finding the Fourth Proportional to 445,842.84, 668,249.24 and 205,454.10

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Solution

The fourth proportional to 445,842.84, 668,249.24 and 205,454.10 is: 307,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,842.84 : 668,249.24 = 205,454.10 : x
  2. Step 2: Convert to fraction form
    445,842.84/668,249.24 = 205,454.10/x
  3. Step 3: Cross multiply
    445,842.84x = 668,249.24 × 205,454.10
  4. Step 4: Simplify right side
    445,842.84x = 137,294,546,179.88
  5. Step 5: Solve for x
    x = 137,294,546,179.88/445,842.84
  6. Step 6: Final answer
    x = 307,943.82

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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.