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Finding the Fourth Proportional to 228,564.52, 315,452.10 and 127,969

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Solution

The fourth proportional to 228,564.52, 315,452.10 and 127,969 is: 176,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,564.52 : 315,452.10 = 127,969 : x
  2. Step 2: Convert to fraction form
    228,564.52/315,452.10 = 127,969/x
  3. Step 3: Cross multiply
    228,564.52x = 315,452.10 × 127,969
  4. Step 4: Simplify right side
    228,564.52x = 40,368,089,784.90
  5. Step 5: Solve for x
    x = 40,368,089,784.90/228,564.52
  6. Step 6: Final answer
    x = 176,615.73

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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.