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Finding the Fourth Proportional to 320,971.35, 442,935 and 177,728.31

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Solution

The fourth proportional to 320,971.35, 442,935 and 177,728.31 is: 245,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,971.35 : 442,935 = 177,728.31 : x
  2. Step 2: Convert to fraction form
    320,971.35/442,935 = 177,728.31/x
  3. Step 3: Cross multiply
    320,971.35x = 442,935 × 177,728.31
  4. Step 4: Simplify right side
    320,971.35x = 78,722,088,989.85
  5. Step 5: Solve for x
    x = 78,722,088,989.85/320,971.35
  6. Step 6: Final answer
    x = 245,262.04

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1.5x scale

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.