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Finding the Fourth Proportional to 270,643.20, 405,964.80 and 112,819.20

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Solution

The fourth proportional to 270,643.20, 405,964.80 and 112,819.20 is: 169,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.20 : 405,964.80 = 112,819.20 : x
  2. Step 2: Convert to fraction form
    270,643.20/405,964.80 = 112,819.20/x
  3. Step 3: Cross multiply
    270,643.20x = 405,964.80 × 112,819.20
  4. Step 4: Simplify right side
    270,643.20x = 45,800,623,964.16
  5. Step 5: Solve for x
    x = 45,800,623,964.16/270,643.20
  6. Step 6: Final answer
    x = 169,228.80

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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.