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Finding the Fourth Proportional to 228,540.69, 315,416.03 and 137,947.86

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Solution

The fourth proportional to 228,540.69, 315,416.03 and 137,947.86 is: 190,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,540.69 : 315,416.03 = 137,947.86 : x
  2. Step 2: Convert to fraction form
    228,540.69/315,416.03 = 137,947.86/x
  3. Step 3: Cross multiply
    228,540.69x = 315,416.03 × 137,947.86
  4. Step 4: Simplify right side
    228,540.69x = 43,510,965,658.46
  5. Step 5: Solve for x
    x = 43,510,965,658.46/228,540.69
  6. Step 6: Final answer
    x = 190,386.08

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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.