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Finding the Fourth Proportional to 400,540.50, 552,807.72 and 228,458.84

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Solution

The fourth proportional to 400,540.50, 552,807.72 and 228,458.84 is: 315,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,540.50 : 552,807.72 = 228,458.84 : x
  2. Step 2: Convert to fraction form
    400,540.50/552,807.72 = 228,458.84/x
  3. Step 3: Cross multiply
    400,540.50x = 552,807.72 × 228,458.84
  4. Step 4: Simplify right side
    400,540.50x = 126,293,807,690.21
  5. Step 5: Solve for x
    x = 126,293,807,690.21/400,540.50
  6. Step 6: Final answer
    x = 315,308.46

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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.