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Finding the Fourth Proportional to 270,363.80, 405,776.10 and 120,834.20

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Solution

The fourth proportional to 270,363.80, 405,776.10 and 120,834.20 is: 181,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,363.80 : 405,776.10 = 120,834.20 : x
  2. Step 2: Convert to fraction form
    270,363.80/405,776.10 = 120,834.20/x
  3. Step 3: Cross multiply
    270,363.80x = 405,776.10 × 120,834.20
  4. Step 4: Simplify right side
    270,363.80x = 49,031,630,422.62
  5. Step 5: Solve for x
    x = 49,031,630,422.62/270,363.80
  6. Step 6: Final answer
    x = 181,354.27

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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.