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Finding the Fourth Proportional to 291,367.30, 402,086.49 and 164,083.90

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Solution

The fourth proportional to 291,367.30, 402,086.49 and 164,083.90 is: 226,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,367.30 : 402,086.49 = 164,083.90 : x
  2. Step 2: Convert to fraction form
    291,367.30/402,086.49 = 164,083.90/x
  3. Step 3: Cross multiply
    291,367.30x = 402,086.49 × 164,083.90
  4. Step 4: Simplify right side
    291,367.30x = 65,975,919,416.51
  5. Step 5: Solve for x
    x = 65,975,919,416.51/291,367.30
  6. Step 6: Final answer
    x = 226,435.57

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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.