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Finding the Fourth Proportional to 405,929.88, 608,953.14 and 125,469

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Solution

The fourth proportional to 405,929.88, 608,953.14 and 125,469 is: 188,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,929.88 : 608,953.14 = 125,469 : x
  2. Step 2: Convert to fraction form
    405,929.88/608,953.14 = 125,469/x
  3. Step 3: Cross multiply
    405,929.88x = 608,953.14 × 125,469
  4. Step 4: Simplify right side
    405,929.88x = 76,404,741,522.66
  5. Step 5: Solve for x
    x = 76,404,741,522.66/405,929.88
  6. Step 6: Final answer
    x = 188,221.53

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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.