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Finding the Fourth Proportional to 320,344.63, 442,084.80 and 177,113.88

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Solution

The fourth proportional to 320,344.63, 442,084.80 and 177,113.88 is: 244,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,344.63 : 442,084.80 = 177,113.88 : x
  2. Step 2: Convert to fraction form
    320,344.63/442,084.80 = 177,113.88/x
  3. Step 3: Cross multiply
    320,344.63x = 442,084.80 × 177,113.88
  4. Step 4: Simplify right side
    320,344.63x = 78,299,354,217.02
  5. Step 5: Solve for x
    x = 78,299,354,217.02/320,344.63
  6. Step 6: Final answer
    x = 244,422.25

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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.