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Finding the Fourth Proportional to 415,571.76, 623,390.40 and 131,284.26

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Solution

The fourth proportional to 415,571.76, 623,390.40 and 131,284.26 is: 196,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,571.76 : 623,390.40 = 131,284.26 : x
  2. Step 2: Convert to fraction form
    415,571.76/623,390.40 = 131,284.26/x
  3. Step 3: Cross multiply
    415,571.76x = 623,390.40 × 131,284.26
  4. Step 4: Simplify right side
    415,571.76x = 81,841,347,355.10
  5. Step 5: Solve for x
    x = 81,841,347,355.10/415,571.76
  6. Step 6: Final answer
    x = 196,936.74

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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.