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Finding the Fourth Proportional to 381,699.40, 572,549.10 and 275,945.80

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Solution

The fourth proportional to 381,699.40, 572,549.10 and 275,945.80 is: 413,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,699.40 : 572,549.10 = 275,945.80 : x
  2. Step 2: Convert to fraction form
    381,699.40/572,549.10 = 275,945.80/x
  3. Step 3: Cross multiply
    381,699.40x = 572,549.10 × 275,945.80
  4. Step 4: Simplify right side
    381,699.40x = 157,992,519,438.78
  5. Step 5: Solve for x
    x = 157,992,519,438.78/381,699.40
  6. Step 6: Final answer
    x = 413,918.70

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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.