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Finding the Fourth Proportional to 380,107.55, 570,291.75 and 143,517.89

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Solution

The fourth proportional to 380,107.55, 570,291.75 and 143,517.89 is: 215,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,107.55 : 570,291.75 = 143,517.89 : x
  2. Step 2: Convert to fraction form
    380,107.55/570,291.75 = 143,517.89/x
  3. Step 3: Cross multiply
    380,107.55x = 570,291.75 × 143,517.89
  4. Step 4: Simplify right side
    380,107.55x = 81,847,070,070.14
  5. Step 5: Solve for x
    x = 81,847,070,070.14/380,107.55
  6. Step 6: Final answer
    x = 215,326.08

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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.