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Finding the Fourth Proportional to 263,706.98, 363,916.05 and 156,329.78

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Solution

The fourth proportional to 263,706.98, 363,916.05 and 156,329.78 is: 215,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,706.98 : 363,916.05 = 156,329.78 : x
  2. Step 2: Convert to fraction form
    263,706.98/363,916.05 = 156,329.78/x
  3. Step 3: Cross multiply
    263,706.98x = 363,916.05 × 156,329.78
  4. Step 4: Simplify right side
    263,706.98x = 56,890,916,034.97
  5. Step 5: Solve for x
    x = 56,890,916,034.97/263,706.98
  6. Step 6: Final answer
    x = 215,735.34

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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.