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Finding the Fourth Proportional to 380,754.72, 570,531.25 and 140,537.99

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Solution

The fourth proportional to 380,754.72, 570,531.25 and 140,537.99 is: 210,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,754.72 : 570,531.25 = 140,537.99 : x
  2. Step 2: Convert to fraction form
    380,754.72/570,531.25 = 140,537.99/x
  3. Step 3: Cross multiply
    380,754.72x = 570,531.25 × 140,537.99
  4. Step 4: Simplify right side
    380,754.72x = 80,181,315,107.19
  5. Step 5: Solve for x
    x = 80,181,315,107.19/380,754.72
  6. Step 6: Final answer
    x = 210,585.22

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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.