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Finding the Fourth Proportional to 380,033.32, 570,029.82 and 143,360.68

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Solution

The fourth proportional to 380,033.32, 570,029.82 and 143,360.68 is: 215,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,033.32 : 570,029.82 = 143,360.68 : x
  2. Step 2: Convert to fraction form
    380,033.32/570,029.82 = 143,360.68/x
  3. Step 3: Cross multiply
    380,033.32x = 570,029.82 × 143,360.68
  4. Step 4: Simplify right side
    380,033.32x = 81,719,862,615.48
  5. Step 5: Solve for x
    x = 81,719,862,615.48/380,033.32
  6. Step 6: Final answer
    x = 215,033.42

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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.