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Finding the Fourth Proportional to 228,478.85, 315,201.56 and 137,784.42

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Solution

The fourth proportional to 228,478.85, 315,201.56 and 137,784.42 is: 190,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478.85 : 315,201.56 = 137,784.42 : x
  2. Step 2: Convert to fraction form
    228,478.85/315,201.56 = 137,784.42/x
  3. Step 3: Cross multiply
    228,478.85x = 315,201.56 × 137,784.42
  4. Step 4: Simplify right side
    228,478.85x = 43,429,863,438.77
  5. Step 5: Solve for x
    x = 43,429,863,438.77/228,478.85
  6. Step 6: Final answer
    x = 190,082.64

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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.