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Finding the Fourth Proportional to 543,378.20, 814,007.10 and 355,821.08

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Solution

The fourth proportional to 543,378.20, 814,007.10 and 355,821.08 is: 533,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,378.20 : 814,007.10 = 355,821.08 : x
  2. Step 2: Convert to fraction form
    543,378.20/814,007.10 = 355,821.08/x
  3. Step 3: Cross multiply
    543,378.20x = 814,007.10 × 355,821.08
  4. Step 4: Simplify right side
    543,378.20x = 289,640,885,449.67
  5. Step 5: Solve for x
    x = 289,640,885,449.67/543,378.20
  6. Step 6: Final answer
    x = 533,037.37

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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.