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Finding the Fourth Proportional to 407,477.75, 611,618.89 and 305,922.58

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Solution

The fourth proportional to 407,477.75, 611,618.89 and 305,922.58 is: 459,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,477.75 : 611,618.89 = 305,922.58 : x
  2. Step 2: Convert to fraction form
    407,477.75/611,618.89 = 305,922.58/x
  3. Step 3: Cross multiply
    407,477.75x = 611,618.89 × 305,922.58
  4. Step 4: Simplify right side
    407,477.75x = 187,108,026,511.68
  5. Step 5: Solve for x
    x = 187,108,026,511.68/407,477.75
  6. Step 6: Final answer
    x = 459,185.88

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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.