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Finding the Fourth Proportional to 320,712.80, 442,551.66 and 177,452.96

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Solution

The fourth proportional to 320,712.80, 442,551.66 and 177,452.96 is: 244,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,712.80 : 442,551.66 = 177,452.96 : x
  2. Step 2: Convert to fraction form
    320,712.80/442,551.66 = 177,452.96/x
  3. Step 3: Cross multiply
    320,712.80x = 442,551.66 × 177,452.96
  4. Step 4: Simplify right side
    320,712.80x = 78,532,102,019.91
  5. Step 5: Solve for x
    x = 78,532,102,019.91/320,712.80
  6. Step 6: Final answer
    x = 244,867.38

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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.