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Finding the Fourth Proportional to 281,092.91, 420,963.66 and 160,785.23

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Solution

The fourth proportional to 281,092.91, 420,963.66 and 160,785.23 is: 240,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,092.91 : 420,963.66 = 160,785.23 : x
  2. Step 2: Convert to fraction form
    281,092.91/420,963.66 = 160,785.23/x
  3. Step 3: Cross multiply
    281,092.91x = 420,963.66 × 160,785.23
  4. Step 4: Simplify right side
    281,092.91x = 67,684,736,789.92
  5. Step 5: Solve for x
    x = 67,684,736,789.92/281,092.91
  6. Step 6: Final answer
    x = 240,791.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.