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Finding the Fourth Proportional to 270,530.52, 405,832.68 and 112,722

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Solution

The fourth proportional to 270,530.52, 405,832.68 and 112,722 is: 169,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,530.52 : 405,832.68 = 112,722 : x
  2. Step 2: Convert to fraction form
    270,530.52/405,832.68 = 112,722/x
  3. Step 3: Cross multiply
    270,530.52x = 405,832.68 × 112,722
  4. Step 4: Simplify right side
    270,530.52x = 45,746,271,354.96
  5. Step 5: Solve for x
    x = 45,746,271,354.96/270,530.52
  6. Step 6: Final answer
    x = 169,098.38

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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.