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Finding the Fourth Proportional to 543,006, 814,530.96 and 258,550.20

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Solution

The fourth proportional to 543,006, 814,530.96 and 258,550.20 is: 387,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,006 : 814,530.96 = 258,550.20 : x
  2. Step 2: Convert to fraction form
    543,006/814,530.96 = 258,550.20/x
  3. Step 3: Cross multiply
    543,006x = 814,530.96 × 258,550.20
  4. Step 4: Simplify right side
    543,006x = 210,597,142,614.19
  5. Step 5: Solve for x
    x = 210,597,142,614.19/543,006
  6. Step 6: Final answer
    x = 387,835.76

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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.