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Finding the Fourth Proportional to 407,765.25, 562,716.06 and 228,917.25

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Solution

The fourth proportional to 407,765.25, 562,716.06 and 228,917.25 is: 315,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,765.25 : 562,716.06 = 228,917.25 : x
  2. Step 2: Convert to fraction form
    407,765.25/562,716.06 = 228,917.25/x
  3. Step 3: Cross multiply
    407,765.25x = 562,716.06 × 228,917.25
  4. Step 4: Simplify right side
    407,765.25x = 128,815,412,986.04
  5. Step 5: Solve for x
    x = 128,815,412,986.04/407,765.25
  6. Step 6: Final answer
    x = 315,905.81

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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.