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Finding the Fourth Proportional to 228,578.16, 315,440.18 and 137,916.57

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Solution

The fourth proportional to 228,578.16, 315,440.18 and 137,916.57 is: 190,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,578.16 : 315,440.18 = 137,916.57 : x
  2. Step 2: Convert to fraction form
    228,578.16/315,440.18 = 137,916.57/x
  3. Step 3: Cross multiply
    228,578.16x = 315,440.18 × 137,916.57
  4. Step 4: Simplify right side
    228,578.16x = 43,504,427,665.78
  5. Step 5: Solve for x
    x = 43,504,427,665.78/228,578.16
  6. Step 6: Final answer
    x = 190,326.27

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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.