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Finding the Fourth Proportional to 275,162.69, 379,728.66 and 160,438.20

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Solution

The fourth proportional to 275,162.69, 379,728.66 and 160,438.20 is: 221,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,162.69 : 379,728.66 = 160,438.20 : x
  2. Step 2: Convert to fraction form
    275,162.69/379,728.66 = 160,438.20/x
  3. Step 3: Cross multiply
    275,162.69x = 379,728.66 × 160,438.20
  4. Step 4: Simplify right side
    275,162.69x = 60,922,982,698.81
  5. Step 5: Solve for x
    x = 60,922,982,698.81/275,162.69
  6. Step 6: Final answer
    x = 221,407.14

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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.