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Finding the Fourth Proportional to 289,983.71, 400,167.14 and 160,927.90

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Solution

The fourth proportional to 289,983.71, 400,167.14 and 160,927.90 is: 222,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,983.71 : 400,167.14 = 160,927.90 : x
  2. Step 2: Convert to fraction form
    289,983.71/400,167.14 = 160,927.90/x
  3. Step 3: Cross multiply
    289,983.71x = 400,167.14 × 160,927.90
  4. Step 4: Simplify right side
    289,983.71x = 64,398,055,684.15
  5. Step 5: Solve for x
    x = 64,398,055,684.15/289,983.71
  6. Step 6: Final answer
    x = 222,074.73

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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.