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Finding the Fourth Proportional to 221,490.90, 305,551.17 and 160,967.70

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Solution

The fourth proportional to 221,490.90, 305,551.17 and 160,967.70 is: 222,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,490.90 : 305,551.17 = 160,967.70 : x
  2. Step 2: Convert to fraction form
    221,490.90/305,551.17 = 160,967.70/x
  3. Step 3: Cross multiply
    221,490.90x = 305,551.17 × 160,967.70
  4. Step 4: Simplify right side
    221,490.90x = 49,183,869,067.21
  5. Step 5: Solve for x
    x = 49,183,869,067.21/221,490.90
  6. Step 6: Final answer
    x = 222,058.19

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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.