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Finding the Fourth Proportional to 437,429.97, 656,144.91 and 105,005.97

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Solution

The fourth proportional to 437,429.97, 656,144.91 and 105,005.97 is: 157,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,429.97 : 656,144.91 = 105,005.97 : x
  2. Step 2: Convert to fraction form
    437,429.97/656,144.91 = 105,005.97/x
  3. Step 3: Cross multiply
    437,429.97x = 656,144.91 × 105,005.97
  4. Step 4: Simplify right side
    437,429.97x = 68,899,132,735.11
  5. Step 5: Solve for x
    x = 68,899,132,735.11/437,429.97
  6. Step 6: Final answer
    x = 157,508.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.