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Finding the Fourth Proportional to 380,457.30, 570,741.99 and 114,239.25

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Solution

The fourth proportional to 380,457.30, 570,741.99 and 114,239.25 is: 171,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,457.30 : 570,741.99 = 114,239.25 : x
  2. Step 2: Convert to fraction form
    380,457.30/570,741.99 = 114,239.25/x
  3. Step 3: Cross multiply
    380,457.30x = 570,741.99 × 114,239.25
  4. Step 4: Simplify right side
    380,457.30x = 65,201,138,592.99
  5. Step 5: Solve for x
    x = 65,201,138,592.99/380,457.30
  6. Step 6: Final answer
    x = 171,375.71

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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.