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Finding the Fourth Proportional to 320,953.80, 442,911.06 and 177,713.40

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Solution

The fourth proportional to 320,953.80, 442,911.06 and 177,713.40 is: 245,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,953.80 : 442,911.06 = 177,713.40 : x
  2. Step 2: Convert to fraction form
    320,953.80/442,911.06 = 177,713.40/x
  3. Step 3: Cross multiply
    320,953.80x = 442,911.06 × 177,713.40
  4. Step 4: Simplify right side
    320,953.80x = 78,711,230,370.20
  5. Step 5: Solve for x
    x = 78,711,230,370.20/320,953.80
  6. Step 6: Final answer
    x = 245,241.62

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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.