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Finding the Fourth Proportional to 455,800.25, 683,847.99 and 219,112.17

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Solution

The fourth proportional to 455,800.25, 683,847.99 and 219,112.17 is: 328,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,800.25 : 683,847.99 = 219,112.17 : x
  2. Step 2: Convert to fraction form
    455,800.25/683,847.99 = 219,112.17/x
  3. Step 3: Cross multiply
    455,800.25x = 683,847.99 × 219,112.17
  4. Step 4: Simplify right side
    455,800.25x = 149,839,417,039.04
  5. Step 5: Solve for x
    x = 149,839,417,039.04/455,800.25
  6. Step 6: Final answer
    x = 328,739.22

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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.