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Finding the Fourth Proportional to 228,609.72, 315,517.56 and 137,978.64

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Solution

The fourth proportional to 228,609.72, 315,517.56 and 137,978.64 is: 190,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,609.72 : 315,517.56 = 137,978.64 : x
  2. Step 2: Convert to fraction form
    228,609.72/315,517.56 = 137,978.64/x
  3. Step 3: Cross multiply
    228,609.72x = 315,517.56 × 137,978.64
  4. Step 4: Simplify right side
    228,609.72x = 43,534,683,824.92
  5. Step 5: Solve for x
    x = 43,534,683,824.92/228,609.72
  6. Step 6: Final answer
    x = 190,432.34

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1.5x scale

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.