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Finding the Fourth Proportional to 380,625, 570,915.54 and 114,379.80

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Solution

The fourth proportional to 380,625, 570,915.54 and 114,379.80 is: 171,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,625 : 570,915.54 = 114,379.80 : x
  2. Step 2: Convert to fraction form
    380,625/570,915.54 = 114,379.80/x
  3. Step 3: Cross multiply
    380,625x = 570,915.54 × 114,379.80
  4. Step 4: Simplify right side
    380,625x = 65,301,205,282.09
  5. Step 5: Solve for x
    x = 65,301,205,282.09/380,625
  6. Step 6: Final answer
    x = 171,563.10

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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.