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Finding the Fourth Proportional to 291,404.38, 402,145.41 and 164,084.26

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Solution

The fourth proportional to 291,404.38, 402,145.41 and 164,084.26 is: 226,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,404.38 : 402,145.41 = 164,084.26 : x
  2. Step 2: Convert to fraction form
    291,404.38/402,145.41 = 164,084.26/x
  3. Step 3: Cross multiply
    291,404.38x = 402,145.41 × 164,084.26
  4. Step 4: Simplify right side
    291,404.38x = 65,985,732,012.25
  5. Step 5: Solve for x
    x = 65,985,732,012.25/291,404.38
  6. Step 6: Final answer
    x = 226,440.43

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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.