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Finding the Fourth Proportional to 285,273.63, 393,689.90 and 157,949.22

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Solution

The fourth proportional to 285,273.63, 393,689.90 and 157,949.22 is: 217,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,273.63 : 393,689.90 = 157,949.22 : x
  2. Step 2: Convert to fraction form
    285,273.63/393,689.90 = 157,949.22/x
  3. Step 3: Cross multiply
    285,273.63x = 393,689.90 × 157,949.22
  4. Step 4: Simplify right side
    285,273.63x = 62,183,012,626.88
  5. Step 5: Solve for x
    x = 62,183,012,626.88/285,273.63
  6. Step 6: Final answer
    x = 217,976.73

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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.