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Finding the Fourth Proportional to 543,846.30, 815,769.45 and 455,272.80

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Solution

The fourth proportional to 543,846.30, 815,769.45 and 455,272.80 is: 682,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,846.30 : 815,769.45 = 455,272.80 : x
  2. Step 2: Convert to fraction form
    543,846.30/815,769.45 = 455,272.80/x
  3. Step 3: Cross multiply
    543,846.30x = 815,769.45 × 455,272.80
  4. Step 4: Simplify right side
    543,846.30x = 371,397,641,655.96
  5. Step 5: Solve for x
    x = 371,397,641,655.96/543,846.30
  6. Step 6: Final answer
    x = 682,909.20

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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.