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Finding the Fourth Proportional to 524,013, 723,138 and 285,549

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Solution

The fourth proportional to 524,013, 723,138 and 285,549 is: 394,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,013 : 723,138 = 285,549 : x
  2. Step 2: Convert to fraction form
    524,013/723,138 = 285,549/x
  3. Step 3: Cross multiply
    524,013x = 723,138 × 285,549
  4. Step 4: Simplify right side
    524,013x = 206,491,332,762
  5. Step 5: Solve for x
    x = 206,491,332,762/524,013
  6. Step 6: Final answer
    x = 394,057.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.