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Finding the Fourth Proportional to 286,910.82, 430,208.22 and 118,392.84

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Solution

The fourth proportional to 286,910.82, 430,208.22 and 118,392.84 is: 177,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,910.82 : 430,208.22 = 118,392.84 : x
  2. Step 2: Convert to fraction form
    286,910.82/430,208.22 = 118,392.84/x
  3. Step 3: Cross multiply
    286,910.82x = 430,208.22 × 118,392.84
  4. Step 4: Simplify right side
    286,910.82x = 50,933,572,957.14
  5. Step 5: Solve for x
    x = 50,933,572,957.14/286,910.82
  6. Step 6: Final answer
    x = 177,524.06

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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.