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Finding the Fourth Proportional to 280,399.28, 386,905.36 and 165,662

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Solution

The fourth proportional to 280,399.28, 386,905.36 and 165,662 is: 228,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,399.28 : 386,905.36 = 165,662 : x
  2. Step 2: Convert to fraction form
    280,399.28/386,905.36 = 165,662/x
  3. Step 3: Cross multiply
    280,399.28x = 386,905.36 × 165,662
  4. Step 4: Simplify right side
    280,399.28x = 64,095,515,748.32
  5. Step 5: Solve for x
    x = 64,095,515,748.32/280,399.28
  6. Step 6: Final answer
    x = 228,586.59

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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.