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Finding the Fourth Proportional to 438,989.63, 658,469.76 and 186,107.42

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Solution

The fourth proportional to 438,989.63, 658,469.76 and 186,107.42 is: 279,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,989.63 : 658,469.76 = 186,107.42 : x
  2. Step 2: Convert to fraction form
    438,989.63/658,469.76 = 186,107.42/x
  3. Step 3: Cross multiply
    438,989.63x = 658,469.76 × 186,107.42
  4. Step 4: Simplify right side
    438,989.63x = 122,546,109,129.89
  5. Step 5: Solve for x
    x = 122,546,109,129.89/438,989.63
  6. Step 6: Final answer
    x = 279,154.91

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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.