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Finding the Fourth Proportional to 320,752.72, 442,652.64 and 177,512.80

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Solution

The fourth proportional to 320,752.72, 442,652.64 and 177,512.80 is: 244,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,752.72 : 442,652.64 = 177,512.80 : x
  2. Step 2: Convert to fraction form
    320,752.72/442,652.64 = 177,512.80/x
  3. Step 3: Cross multiply
    320,752.72x = 442,652.64 × 177,512.80
  4. Step 4: Simplify right side
    320,752.72x = 78,576,509,553.79
  5. Step 5: Solve for x
    x = 78,576,509,553.79/320,752.72
  6. Step 6: Final answer
    x = 244,975.35

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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.