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Finding the Fourth Proportional to 289,722.21, 399,796.52 and 160,667.34

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Solution

The fourth proportional to 289,722.21, 399,796.52 and 160,667.34 is: 221,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722.21 : 399,796.52 = 160,667.34 : x
  2. Step 2: Convert to fraction form
    289,722.21/399,796.52 = 160,667.34/x
  3. Step 3: Cross multiply
    289,722.21x = 399,796.52 × 160,667.34
  4. Step 4: Simplify right side
    289,722.21x = 64,234,243,409.66
  5. Step 5: Solve for x
    x = 64,234,243,409.66/289,722.21
  6. Step 6: Final answer
    x = 221,709.77

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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.