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Finding the Fourth Proportional to 289,849.82, 399,992.38 and 160,807.86

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Solution

The fourth proportional to 289,849.82, 399,992.38 and 160,807.86 is: 221,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,849.82 : 399,992.38 = 160,807.86 : x
  2. Step 2: Convert to fraction form
    289,849.82/399,992.38 = 160,807.86/x
  3. Step 3: Cross multiply
    289,849.82x = 399,992.38 × 160,807.86
  4. Step 4: Simplify right side
    289,849.82x = 64,321,918,644.11
  5. Step 5: Solve for x
    x = 64,321,918,644.11/289,849.82
  6. Step 6: Final answer
    x = 221,914.64

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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.