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Finding the Fourth Proportional to 380,034.32, 570,031.32 and 143,361.68

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Solution

The fourth proportional to 380,034.32, 570,031.32 and 143,361.68 is: 215,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,034.32 : 570,031.32 = 143,361.68 : x
  2. Step 2: Convert to fraction form
    380,034.32/570,031.32 = 143,361.68/x
  3. Step 3: Cross multiply
    380,034.32x = 570,031.32 × 143,361.68
  4. Step 4: Simplify right side
    380,034.32x = 81,720,647,687.82
  5. Step 5: Solve for x
    x = 81,720,647,687.82/380,034.32
  6. Step 6: Final answer
    x = 215,034.91

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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.