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Finding the Fourth Proportional to 229,383.39, 343,686.82 and 140,451.20

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Solution

The fourth proportional to 229,383.39, 343,686.82 and 140,451.20 is: 210,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,383.39 : 343,686.82 = 140,451.20 : x
  2. Step 2: Convert to fraction form
    229,383.39/343,686.82 = 140,451.20/x
  3. Step 3: Cross multiply
    229,383.39x = 343,686.82 × 140,451.20
  4. Step 4: Simplify right side
    229,383.39x = 48,271,226,293.18
  5. Step 5: Solve for x
    x = 48,271,226,293.18/229,383.39
  6. Step 6: Final answer
    x = 210,439.07

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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.