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Finding the Fourth Proportional to 543,328.20, 814,992.30 and 431,353.80

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Solution

The fourth proportional to 543,328.20, 814,992.30 and 431,353.80 is: 647,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,328.20 : 814,992.30 = 431,353.80 : x
  2. Step 2: Convert to fraction form
    543,328.20/814,992.30 = 431,353.80/x
  3. Step 3: Cross multiply
    543,328.20x = 814,992.30 × 431,353.80
  4. Step 4: Simplify right side
    543,328.20x = 351,550,025,575.74
  5. Step 5: Solve for x
    x = 351,550,025,575.74/543,328.20
  6. Step 6: Final answer
    x = 647,030.70

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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.