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Finding the Fourth Proportional to 231,522.22, 319,320.39 and 155,017

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Solution

The fourth proportional to 231,522.22, 319,320.39 and 155,017 is: 213,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,522.22 : 319,320.39 = 155,017 : x
  2. Step 2: Convert to fraction form
    231,522.22/319,320.39 = 155,017/x
  3. Step 3: Cross multiply
    231,522.22x = 319,320.39 × 155,017
  4. Step 4: Simplify right side
    231,522.22x = 49,500,088,896.63
  5. Step 5: Solve for x
    x = 49,500,088,896.63/231,522.22
  6. Step 6: Final answer
    x = 213,802.76

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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.