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Finding the Fourth Proportional to 415,963.20, 624,013.78 and 146,021.34

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Solution

The fourth proportional to 415,963.20, 624,013.78 and 146,021.34 is: 219,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,963.20 : 624,013.78 = 146,021.34 : x
  2. Step 2: Convert to fraction form
    415,963.20/624,013.78 = 146,021.34/x
  3. Step 3: Cross multiply
    415,963.20x = 624,013.78 × 146,021.34
  4. Step 4: Simplify right side
    415,963.20x = 91,119,324,483.89
  5. Step 5: Solve for x
    x = 91,119,324,483.89/415,963.20
  6. Step 6: Final answer
    x = 219,056.22

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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.