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Finding the Fourth Proportional to 228,294.56, 315,173.18 and 137,673.48

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Solution

The fourth proportional to 228,294.56, 315,173.18 and 137,673.48 is: 190,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,294.56 : 315,173.18 = 137,673.48 : x
  2. Step 2: Convert to fraction form
    228,294.56/315,173.18 = 137,673.48/x
  3. Step 3: Cross multiply
    228,294.56x = 315,173.18 × 137,673.48
  4. Step 4: Simplify right side
    228,294.56x = 43,390,988,493.27
  5. Step 5: Solve for x
    x = 43,390,988,493.27/228,294.56
  6. Step 6: Final answer
    x = 190,065.80

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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.