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Finding the Fourth Proportional to 228,476.58, 315,086.97 and 156,730.02

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Solution

The fourth proportional to 228,476.58, 315,086.97 and 156,730.02 is: 216,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,476.58 : 315,086.97 = 156,730.02 : x
  2. Step 2: Convert to fraction form
    228,476.58/315,086.97 = 156,730.02/x
  3. Step 3: Cross multiply
    228,476.58x = 315,086.97 × 156,730.02
  4. Step 4: Simplify right side
    228,476.58x = 49,383,587,109.84
  5. Step 5: Solve for x
    x = 49,383,587,109.84/228,476.58
  6. Step 6: Final answer
    x = 216,142.88

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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.