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Finding the Fourth Proportional to 301,230, 415,654.22 and 180,342.36

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Solution

The fourth proportional to 301,230, 415,654.22 and 180,342.36 is: 248,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,230 : 415,654.22 = 180,342.36 : x
  2. Step 2: Convert to fraction form
    301,230/415,654.22 = 180,342.36/x
  3. Step 3: Cross multiply
    301,230x = 415,654.22 × 180,342.36
  4. Step 4: Simplify right side
    301,230x = 74,960,062,978.76
  5. Step 5: Solve for x
    x = 74,960,062,978.76/301,230
  6. Step 6: Final answer
    x = 248,846.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.