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Finding the Fourth Proportional to 407,016, 561,682.08 and 228,168

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Solution

The fourth proportional to 407,016, 561,682.08 and 228,168 is: 314,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,016 : 561,682.08 = 228,168 : x
  2. Step 2: Convert to fraction form
    407,016/561,682.08 = 228,168/x
  3. Step 3: Cross multiply
    407,016x = 561,682.08 × 228,168
  4. Step 4: Simplify right side
    407,016x = 128,157,876,829.44
  5. Step 5: Solve for x
    x = 128,157,876,829.44/407,016
  6. Step 6: Final answer
    x = 314,871.84

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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.