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Finding the Fourth Proportional to 275,549.55, 412,939.37 and 148,916.78

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Solution

The fourth proportional to 275,549.55, 412,939.37 and 148,916.78 is: 223,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,549.55 : 412,939.37 = 148,916.78 : x
  2. Step 2: Convert to fraction form
    275,549.55/412,939.37 = 148,916.78/x
  3. Step 3: Cross multiply
    275,549.55x = 412,939.37 × 148,916.78
  4. Step 4: Simplify right side
    275,549.55x = 61,493,602,720.27
  5. Step 5: Solve for x
    x = 61,493,602,720.27/275,549.55
  6. Step 6: Final answer
    x = 223,167.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.