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Finding the Fourth Proportional to 228,399.78, 314,983.44 and 196,124.25

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Solution

The fourth proportional to 228,399.78, 314,983.44 and 196,124.25 is: 270,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,399.78 : 314,983.44 = 196,124.25 : x
  2. Step 2: Convert to fraction form
    228,399.78/314,983.44 = 196,124.25/x
  3. Step 3: Cross multiply
    228,399.78x = 314,983.44 × 196,124.25
  4. Step 4: Simplify right side
    228,399.78x = 61,775,890,932.42
  5. Step 5: Solve for x
    x = 61,775,890,932.42/228,399.78
  6. Step 6: Final answer
    x = 270,472.64

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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.