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Finding the Fourth Proportional to 380,701.41, 570,990.15 and 143,987.82

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Solution

The fourth proportional to 380,701.41, 570,990.15 and 143,987.82 is: 215,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,701.41 : 570,990.15 = 143,987.82 : x
  2. Step 2: Convert to fraction form
    380,701.41/570,990.15 = 143,987.82/x
  3. Step 3: Cross multiply
    380,701.41x = 570,990.15 × 143,987.82
  4. Step 4: Simplify right side
    380,701.41x = 82,215,626,939.97
  5. Step 5: Solve for x
    x = 82,215,626,939.97/380,701.41
  6. Step 6: Final answer
    x = 215,958.29

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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.