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Finding the Fourth Proportional to 282,350.28, 389,496.42 and 228,695.88

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Solution

The fourth proportional to 282,350.28, 389,496.42 and 228,695.88 is: 315,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,350.28 : 389,496.42 = 228,695.88 : x
  2. Step 2: Convert to fraction form
    282,350.28/389,496.42 = 228,695.88/x
  3. Step 3: Cross multiply
    282,350.28x = 389,496.42 × 228,695.88
  4. Step 4: Simplify right side
    282,350.28x = 89,076,226,528.75
  5. Step 5: Solve for x
    x = 89,076,226,528.75/282,350.28
  6. Step 6: Final answer
    x = 315,481.28

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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.