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Finding the Fourth Proportional to 270,521.64, 405,819.45 and 112,713.26

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Solution

The fourth proportional to 270,521.64, 405,819.45 and 112,713.26 is: 169,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,521.64 : 405,819.45 = 112,713.26 : x
  2. Step 2: Convert to fraction form
    270,521.64/405,819.45 = 112,713.26/x
  3. Step 3: Cross multiply
    270,521.64x = 405,819.45 × 112,713.26
  4. Step 4: Simplify right side
    270,521.64x = 45,741,231,151.81
  5. Step 5: Solve for x
    x = 45,741,231,151.81/270,521.64
  6. Step 6: Final answer
    x = 169,085.29

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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.