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Finding the Fourth Proportional to 407,906.73, 611,796.83 and 208,374.57

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Solution

The fourth proportional to 407,906.73, 611,796.83 and 208,374.57 is: 312,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,906.73 : 611,796.83 = 208,374.57 : x
  2. Step 2: Convert to fraction form
    407,906.73/611,796.83 = 208,374.57/x
  3. Step 3: Cross multiply
    407,906.73x = 611,796.83 × 208,374.57
  4. Step 4: Simplify right side
    407,906.73x = 127,482,900,336.74
  5. Step 5: Solve for x
    x = 127,482,900,336.74/407,906.73
  6. Step 6: Final answer
    x = 312,529.53

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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.