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Finding the Fourth Proportional to 543,502.17, 814,824.50 and 343,400.85

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Solution

The fourth proportional to 543,502.17, 814,824.50 and 343,400.85 is: 514,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,502.17 : 814,824.50 = 343,400.85 : x
  2. Step 2: Convert to fraction form
    543,502.17/814,824.50 = 343,400.85/x
  3. Step 3: Cross multiply
    543,502.17x = 814,824.50 × 343,400.85
  4. Step 4: Simplify right side
    543,502.17x = 279,811,424,183.82
  5. Step 5: Solve for x
    x = 279,811,424,183.82/543,502.17
  6. Step 6: Final answer
    x = 514,830.37

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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.