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Finding the Fourth Proportional to 277,281.70, 415,921.20 and 108,682.90

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Solution

The fourth proportional to 277,281.70, 415,921.20 and 108,682.90 is: 163,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,281.70 : 415,921.20 = 108,682.90 : x
  2. Step 2: Convert to fraction form
    277,281.70/415,921.20 = 108,682.90/x
  3. Step 3: Cross multiply
    277,281.70x = 415,921.20 × 108,682.90
  4. Step 4: Simplify right side
    277,281.70x = 45,203,522,187.48
  5. Step 5: Solve for x
    x = 45,203,522,187.48/277,281.70
  6. Step 6: Final answer
    x = 163,023.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.