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Finding the Fourth Proportional to 289,908.75, 400,077.36 and 160,849.59

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Solution

The fourth proportional to 289,908.75, 400,077.36 and 160,849.59 is: 221,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,908.75 : 400,077.36 = 160,849.59 : x
  2. Step 2: Convert to fraction form
    289,908.75/400,077.36 = 160,849.59/x
  3. Step 3: Cross multiply
    289,908.75x = 400,077.36 × 160,849.59
  4. Step 4: Simplify right side
    289,908.75x = 64,352,279,324.28
  5. Step 5: Solve for x
    x = 64,352,279,324.28/289,908.75
  6. Step 6: Final answer
    x = 221,974.26

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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.