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Finding the Fourth Proportional to 320,956.80, 442,915.20 and 177,716.40

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Solution

The fourth proportional to 320,956.80, 442,915.20 and 177,716.40 is: 245,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,956.80 : 442,915.20 = 177,716.40 : x
  2. Step 2: Convert to fraction form
    320,956.80/442,915.20 = 177,716.40/x
  3. Step 3: Cross multiply
    320,956.80x = 442,915.20 × 177,716.40
  4. Step 4: Simplify right side
    320,956.80x = 78,713,294,849.28
  5. Step 5: Solve for x
    x = 78,713,294,849.28/320,956.80
  6. Step 6: Final answer
    x = 245,245.76

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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.